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Finding the Fourth Proportional to 16,045.79, 22,143.87 and 8,972.15

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Solution

The fourth proportional to 16,045.79, 22,143.87 and 8,972.15 is: 12,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.79 : 22,143.87 = 8,972.15 : x
  2. Step 2: Convert to fraction form
    16,045.79/22,143.87 = 8,972.15/x
  3. Step 3: Cross multiply
    16,045.79x = 22,143.87 × 8,972.15
  4. Step 4: Simplify right side
    16,045.79x = 198,678,012.50
  5. Step 5: Solve for x
    x = 198,678,012.50/16,045.79
  6. Step 6: Final answer
    x = 12,381.94

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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.