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Finding the Fourth Proportional to 16,045.61, 22,142.94 and 8,972.04

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Solution

The fourth proportional to 16,045.61, 22,142.94 and 8,972.04 is: 12,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.61 : 22,142.94 = 8,972.04 : x
  2. Step 2: Convert to fraction form
    16,045.61/22,142.94 = 8,972.04/x
  3. Step 3: Cross multiply
    16,045.61x = 22,142.94 × 8,972.04
  4. Step 4: Simplify right side
    16,045.61x = 198,667,392.79
  5. Step 5: Solve for x
    x = 198,667,392.79/16,045.61
  6. Step 6: Final answer
    x = 12,381.42

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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.