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Finding the Fourth Proportional to 23,874.94, 32,948.13 and 13,802.49

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Solution

The fourth proportional to 23,874.94, 32,948.13 and 13,802.49 is: 19,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.94 : 32,948.13 = 13,802.49 : x
  2. Step 2: Convert to fraction form
    23,874.94/32,948.13 = 13,802.49/x
  3. Step 3: Cross multiply
    23,874.94x = 32,948.13 × 13,802.49
  4. Step 4: Simplify right side
    23,874.94x = 454,766,340.45
  5. Step 5: Solve for x
    x = 454,766,340.45/23,874.94
  6. Step 6: Final answer
    x = 19,047.85

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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.