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Finding the Fourth Proportional to 24,874.50, 34,349.63 and 15,802.80

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Solution

The fourth proportional to 24,874.50, 34,349.63 and 15,802.80 is: 21,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.50 : 34,349.63 = 15,802.80 : x
  2. Step 2: Convert to fraction form
    24,874.50/34,349.63 = 15,802.80/x
  3. Step 3: Cross multiply
    24,874.50x = 34,349.63 × 15,802.80
  4. Step 4: Simplify right side
    24,874.50x = 542,820,125.14
  5. Step 5: Solve for x
    x = 542,820,125.14/24,874.50
  6. Step 6: Final answer
    x = 21,822.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.