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Finding the Fourth Proportional to 24,497.40, 36,746.10 and 14,129.40

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Solution

The fourth proportional to 24,497.40, 36,746.10 and 14,129.40 is: 21,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.40 : 36,746.10 = 14,129.40 : x
  2. Step 2: Convert to fraction form
    24,497.40/36,746.10 = 14,129.40/x
  3. Step 3: Cross multiply
    24,497.40x = 36,746.10 × 14,129.40
  4. Step 4: Simplify right side
    24,497.40x = 519,200,345.34
  5. Step 5: Solve for x
    x = 519,200,345.34/24,497.40
  6. Step 6: Final answer
    x = 21,194.10

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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.