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Finding the Fourth Proportional to 15,382.92, 21,230.46 and 8,670

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Solution

The fourth proportional to 15,382.92, 21,230.46 and 8,670 is: 11,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.92 : 21,230.46 = 8,670 : x
  2. Step 2: Convert to fraction form
    15,382.92/21,230.46 = 8,670/x
  3. Step 3: Cross multiply
    15,382.92x = 21,230.46 × 8,670
  4. Step 4: Simplify right side
    15,382.92x = 184,068,088.20
  5. Step 5: Solve for x
    x = 184,068,088.20/15,382.92
  6. Step 6: Final answer
    x = 11,965.74

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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.