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Finding the Fourth Proportional to 10,024.36, 15,005.76 and 9,032.92

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Solution

The fourth proportional to 10,024.36, 15,005.76 and 9,032.92 is: 13,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.36 : 15,005.76 = 9,032.92 : x
  2. Step 2: Convert to fraction form
    10,024.36/15,005.76 = 9,032.92/x
  3. Step 3: Cross multiply
    10,024.36x = 15,005.76 × 9,032.92
  4. Step 4: Simplify right side
    10,024.36x = 135,545,829.62
  5. Step 5: Solve for x
    x = 135,545,829.62/10,024.36
  6. Step 6: Final answer
    x = 13,521.64

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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.