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Finding the Fourth Proportional to 10,660.30, 16,009.65 and 10,314.70

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Solution

The fourth proportional to 10,660.30, 16,009.65 and 10,314.70 is: 15,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.30 : 16,009.65 = 10,314.70 : x
  2. Step 2: Convert to fraction form
    10,660.30/16,009.65 = 10,314.70/x
  3. Step 3: Cross multiply
    10,660.30x = 16,009.65 × 10,314.70
  4. Step 4: Simplify right side
    10,660.30x = 165,134,736.86
  5. Step 5: Solve for x
    x = 165,134,736.86/10,660.30
  6. Step 6: Final answer
    x = 15,490.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.