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Finding the Fourth Proportional to 16,382.92, 22,603.24 and 9,670.86

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Solution

The fourth proportional to 16,382.92, 22,603.24 and 9,670.86 is: 13,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.92 : 22,603.24 = 9,670.86 : x
  2. Step 2: Convert to fraction form
    16,382.92/22,603.24 = 9,670.86/x
  3. Step 3: Cross multiply
    16,382.92x = 22,603.24 × 9,670.86
  4. Step 4: Simplify right side
    16,382.92x = 218,592,769.59
  5. Step 5: Solve for x
    x = 218,592,769.59/16,382.92
  6. Step 6: Final answer
    x = 13,342.72

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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.