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Finding the Fourth Proportional to 15,319.60, 22,982.08 and 5,458.64

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Solution

The fourth proportional to 15,319.60, 22,982.08 and 5,458.64 is: 8,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,319.60 : 22,982.08 = 5,458.64 : x
  2. Step 2: Convert to fraction form
    15,319.60/22,982.08 = 5,458.64/x
  3. Step 3: Cross multiply
    15,319.60x = 22,982.08 × 5,458.64
  4. Step 4: Simplify right side
    15,319.60x = 125,450,901.17
  5. Step 5: Solve for x
    x = 125,450,901.17/15,319.60
  6. Step 6: Final answer
    x = 8,188.91

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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.