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Finding the Fourth Proportional to 16,592.10, 22,896.29 and 9,038.36

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Solution

The fourth proportional to 16,592.10, 22,896.29 and 9,038.36 is: 12,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.10 : 22,896.29 = 9,038.36 : x
  2. Step 2: Convert to fraction form
    16,592.10/22,896.29 = 9,038.36/x
  3. Step 3: Cross multiply
    16,592.10x = 22,896.29 × 9,038.36
  4. Step 4: Simplify right side
    16,592.10x = 206,944,811.89
  5. Step 5: Solve for x
    x = 206,944,811.89/16,592.10
  6. Step 6: Final answer
    x = 12,472.49

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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.