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Finding the Fourth Proportional to 15,023.16, 20,731.38 and 8,308.26

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Solution

The fourth proportional to 15,023.16, 20,731.38 and 8,308.26 is: 11,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.16 : 20,731.38 = 8,308.26 : x
  2. Step 2: Convert to fraction form
    15,023.16/20,731.38 = 8,308.26/x
  3. Step 3: Cross multiply
    15,023.16x = 20,731.38 × 8,308.26
  4. Step 4: Simplify right side
    15,023.16x = 172,241,695.20
  5. Step 5: Solve for x
    x = 172,241,695.20/15,023.16
  6. Step 6: Final answer
    x = 11,465.08

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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.