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Finding the Fourth Proportional to 16,430.48, 24,652.78 and 5,340.57

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Solution

The fourth proportional to 16,430.48, 24,652.78 and 5,340.57 is: 8,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.48 : 24,652.78 = 5,340.57 : x
  2. Step 2: Convert to fraction form
    16,430.48/24,652.78 = 5,340.57/x
  3. Step 3: Cross multiply
    16,430.48x = 24,652.78 × 5,340.57
  4. Step 4: Simplify right side
    16,430.48x = 131,659,897.28
  5. Step 5: Solve for x
    x = 131,659,897.28/16,430.48
  6. Step 6: Final answer
    x = 8,013.15

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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.