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Finding the Fourth Proportional to 15,023.55, 20,732.38 and 8,309.16

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Solution

The fourth proportional to 15,023.55, 20,732.38 and 8,309.16 is: 11,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.55 : 20,732.38 = 8,309.16 : x
  2. Step 2: Convert to fraction form
    15,023.55/20,732.38 = 8,309.16/x
  3. Step 3: Cross multiply
    15,023.55x = 20,732.38 × 8,309.16
  4. Step 4: Simplify right side
    15,023.55x = 172,268,641.83
  5. Step 5: Solve for x
    x = 172,268,641.83/15,023.55
  6. Step 6: Final answer
    x = 11,466.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.