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Finding the Fourth Proportional to 24,543.62, 33,866.13 and 14,470.71

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Solution

The fourth proportional to 24,543.62, 33,866.13 and 14,470.71 is: 19,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.62 : 33,866.13 = 14,470.71 : x
  2. Step 2: Convert to fraction form
    24,543.62/33,866.13 = 14,470.71/x
  3. Step 3: Cross multiply
    24,543.62x = 33,866.13 × 14,470.71
  4. Step 4: Simplify right side
    24,543.62x = 490,066,946.05
  5. Step 5: Solve for x
    x = 490,066,946.05/24,543.62
  6. Step 6: Final answer
    x = 19,967.18

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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.