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Finding the Fourth Proportional to 24,032.43, 36,020.09 and 9,989.46

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Solution

The fourth proportional to 24,032.43, 36,020.09 and 9,989.46 is: 14,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.43 : 36,020.09 = 9,989.46 : x
  2. Step 2: Convert to fraction form
    24,032.43/36,020.09 = 9,989.46/x
  3. Step 3: Cross multiply
    24,032.43x = 36,020.09 × 9,989.46
  4. Step 4: Simplify right side
    24,032.43x = 359,821,273.23
  5. Step 5: Solve for x
    x = 359,821,273.23/24,032.43
  6. Step 6: Final answer
    x = 14,972.32

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