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Finding the Fourth Proportional to 24,172.50, 33,358.06 and 14,743.02

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Solution

The fourth proportional to 24,172.50, 33,358.06 and 14,743.02 is: 20,345.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172.50 : 33,358.06 = 14,743.02 : x
  2. Step 2: Convert to fraction form
    24,172.50/33,358.06 = 14,743.02/x
  3. Step 3: Cross multiply
    24,172.50x = 33,358.06 × 14,743.02
  4. Step 4: Simplify right side
    24,172.50x = 491,798,545.74
  5. Step 5: Solve for x
    x = 491,798,545.74/24,172.50
  6. Step 6: Final answer
    x = 20,345.37

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