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Finding the Fourth Proportional to 16,045.48, 22,143.06 and 8,972.44

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Solution

The fourth proportional to 16,045.48, 22,143.06 and 8,972.44 is: 12,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.48 : 22,143.06 = 8,972.44 : x
  2. Step 2: Convert to fraction form
    16,045.48/22,143.06 = 8,972.44/x
  3. Step 3: Cross multiply
    16,045.48x = 22,143.06 × 8,972.44
  4. Step 4: Simplify right side
    16,045.48x = 198,677,277.27
  5. Step 5: Solve for x
    x = 198,677,277.27/16,045.48
  6. Step 6: Final answer
    x = 12,382.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.