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Finding the Fourth Proportional to 16,344.30, 24,470.42 and 10,406.60

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Solution

The fourth proportional to 16,344.30, 24,470.42 and 10,406.60 is: 15,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.30 : 24,470.42 = 10,406.60 : x
  2. Step 2: Convert to fraction form
    16,344.30/24,470.42 = 10,406.60/x
  3. Step 3: Cross multiply
    16,344.30x = 24,470.42 × 10,406.60
  4. Step 4: Simplify right side
    16,344.30x = 254,653,698.39
  5. Step 5: Solve for x
    x = 254,653,698.39/16,344.30
  6. Step 6: Final answer
    x = 15,580.58

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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.