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Finding the Fourth Proportional to 16,176.52, 22,323.72 and 9,103.06

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Solution

The fourth proportional to 16,176.52, 22,323.72 and 9,103.06 is: 12,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.52 : 22,323.72 = 9,103.06 : x
  2. Step 2: Convert to fraction form
    16,176.52/22,323.72 = 9,103.06/x
  3. Step 3: Cross multiply
    16,176.52x = 22,323.72 × 9,103.06
  4. Step 4: Simplify right side
    16,176.52x = 203,214,162.58
  5. Step 5: Solve for x
    x = 203,214,162.58/16,176.52
  6. Step 6: Final answer
    x = 12,562.29

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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.