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Finding the Fourth Proportional to 16,470.78, 24,708.06 and 5,374.32

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Solution

The fourth proportional to 16,470.78, 24,708.06 and 5,374.32 is: 8,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.78 : 24,708.06 = 5,374.32 : x
  2. Step 2: Convert to fraction form
    16,470.78/24,708.06 = 5,374.32/x
  3. Step 3: Cross multiply
    16,470.78x = 24,708.06 × 5,374.32
  4. Step 4: Simplify right side
    16,470.78x = 132,789,021.02
  5. Step 5: Solve for x
    x = 132,789,021.02/16,470.78
  6. Step 6: Final answer
    x = 8,062.10

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Why These Related Problems?

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