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Finding the Fourth Proportional to 24,497.80, 36,746.70 and 13,400.20

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Solution

The fourth proportional to 24,497.80, 36,746.70 and 13,400.20 is: 20,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.80 : 36,746.70 = 13,400.20 : x
  2. Step 2: Convert to fraction form
    24,497.80/36,746.70 = 13,400.20/x
  3. Step 3: Cross multiply
    24,497.80x = 36,746.70 × 13,400.20
  4. Step 4: Simplify right side
    24,497.80x = 492,413,129.34
  5. Step 5: Solve for x
    x = 492,413,129.34/24,497.80
  6. Step 6: Final answer
    x = 20,100.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.