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Finding the Fourth Proportional to 16,562, 22,855.92 and 9,110

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Solution

The fourth proportional to 16,562, 22,855.92 and 9,110 is: 12,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562 : 22,855.92 = 9,110 : x
  2. Step 2: Convert to fraction form
    16,562/22,855.92 = 9,110/x
  3. Step 3: Cross multiply
    16,562x = 22,855.92 × 9,110
  4. Step 4: Simplify right side
    16,562x = 208,217,431.20
  5. Step 5: Solve for x
    x = 208,217,431.20/16,562
  6. Step 6: Final answer
    x = 12,572.00

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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.