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Finding the Fourth Proportional to 15,312.80, 22,969.92 and 5,452.16

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Solution

The fourth proportional to 15,312.80, 22,969.92 and 5,452.16 is: 8,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.80 : 22,969.92 = 5,452.16 : x
  2. Step 2: Convert to fraction form
    15,312.80/22,969.92 = 5,452.16/x
  3. Step 3: Cross multiply
    15,312.80x = 22,969.92 × 5,452.16
  4. Step 4: Simplify right side
    15,312.80x = 125,235,679.03
  5. Step 5: Solve for x
    x = 125,235,679.03/15,312.80
  6. Step 6: Final answer
    x = 8,178.50

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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.