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Finding the Fourth Proportional to 16,267.33, 24,381 and 9,253.18

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Solution

The fourth proportional to 16,267.33, 24,381 and 9,253.18 is: 13,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.33 : 24,381 = 9,253.18 : x
  2. Step 2: Convert to fraction form
    16,267.33/24,381 = 9,253.18/x
  3. Step 3: Cross multiply
    16,267.33x = 24,381 × 9,253.18
  4. Step 4: Simplify right side
    16,267.33x = 225,601,781.58
  5. Step 5: Solve for x
    x = 225,601,781.58/16,267.33
  6. Step 6: Final answer
    x = 13,868.40

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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.