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Finding the Fourth Proportional to 16,204.68, 22,353.92 and 11,160.16

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Solution

The fourth proportional to 16,204.68, 22,353.92 and 11,160.16 is: 15,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.68 : 22,353.92 = 11,160.16 : x
  2. Step 2: Convert to fraction form
    16,204.68/22,353.92 = 11,160.16/x
  3. Step 3: Cross multiply
    16,204.68x = 22,353.92 × 11,160.16
  4. Step 4: Simplify right side
    16,204.68x = 249,473,323.83
  5. Step 5: Solve for x
    x = 249,473,323.83/16,204.68
  6. Step 6: Final answer
    x = 15,395.14

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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.