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Finding the Fourth Proportional to 15,875.20, 21,909.21 and 9,161.92

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Solution

The fourth proportional to 15,875.20, 21,909.21 and 9,161.92 is: 12,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.20 : 21,909.21 = 9,161.92 : x
  2. Step 2: Convert to fraction form
    15,875.20/21,909.21 = 9,161.92/x
  3. Step 3: Cross multiply
    15,875.20x = 21,909.21 × 9,161.92
  4. Step 4: Simplify right side
    15,875.20x = 200,730,429.28
  5. Step 5: Solve for x
    x = 200,730,429.28/15,875.20
  6. Step 6: Final answer
    x = 12,644.28

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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.