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Finding the Fourth Proportional to 16,381.77, 22,607.66 and 9,213.95

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Solution

The fourth proportional to 16,381.77, 22,607.66 and 9,213.95 is: 12,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.77 : 22,607.66 = 9,213.95 : x
  2. Step 2: Convert to fraction form
    16,381.77/22,607.66 = 9,213.95/x
  3. Step 3: Cross multiply
    16,381.77x = 22,607.66 × 9,213.95
  4. Step 4: Simplify right side
    16,381.77x = 208,305,689.75
  5. Step 5: Solve for x
    x = 208,305,689.75/16,381.77
  6. Step 6: Final answer
    x = 12,715.70

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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.