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Finding the Fourth Proportional to 16,381.74, 22,607.59 and 9,213.90

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Solution

The fourth proportional to 16,381.74, 22,607.59 and 9,213.90 is: 12,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.74 : 22,607.59 = 9,213.90 : x
  2. Step 2: Convert to fraction form
    16,381.74/22,607.59 = 9,213.90/x
  3. Step 3: Cross multiply
    16,381.74x = 22,607.59 × 9,213.90
  4. Step 4: Simplify right side
    16,381.74x = 208,304,073.50
  5. Step 5: Solve for x
    x = 208,304,073.50/16,381.74
  6. Step 6: Final answer
    x = 12,715.63

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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.