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Finding the Fourth Proportional to 15,023.96, 20,732.72 and 8,309.63

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Solution

The fourth proportional to 15,023.96, 20,732.72 and 8,309.63 is: 11,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.96 : 20,732.72 = 8,309.63 : x
  2. Step 2: Convert to fraction form
    15,023.96/20,732.72 = 8,309.63/x
  3. Step 3: Cross multiply
    15,023.96x = 20,732.72 × 8,309.63
  4. Step 4: Simplify right side
    15,023.96x = 172,281,242.38
  5. Step 5: Solve for x
    x = 172,281,242.38/15,023.96
  6. Step 6: Final answer
    x = 11,467.10

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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.