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Finding the Fourth Proportional to 26,732.40, 40,098.14 and 9,201.84

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Solution

The fourth proportional to 26,732.40, 40,098.14 and 9,201.84 is: 13,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,732.40 : 40,098.14 = 9,201.84 : x
  2. Step 2: Convert to fraction form
    26,732.40/40,098.14 = 9,201.84/x
  3. Step 3: Cross multiply
    26,732.40x = 40,098.14 × 9,201.84
  4. Step 4: Simplify right side
    26,732.40x = 368,976,668.58
  5. Step 5: Solve for x
    x = 368,976,668.58/26,732.40
  6. Step 6: Final answer
    x = 13,802.60

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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.