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Finding the Fourth Proportional to 16,185.60, 22,320 and 11,412.48

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Solution

The fourth proportional to 16,185.60, 22,320 and 11,412.48 is: 15,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.60 : 22,320 = 11,412.48 : x
  2. Step 2: Convert to fraction form
    16,185.60/22,320 = 11,412.48/x
  3. Step 3: Cross multiply
    16,185.60x = 22,320 × 11,412.48
  4. Step 4: Simplify right side
    16,185.60x = 254,726,553.60
  5. Step 5: Solve for x
    x = 254,726,553.60/16,185.60
  6. Step 6: Final answer
    x = 15,737.85

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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.