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Finding the Fourth Proportional to 15,031.38, 20,734.26 and 9,926.94

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Solution

The fourth proportional to 15,031.38, 20,734.26 and 9,926.94 is: 13,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.38 : 20,734.26 = 9,926.94 : x
  2. Step 2: Convert to fraction form
    15,031.38/20,734.26 = 9,926.94/x
  3. Step 3: Cross multiply
    15,031.38x = 20,734.26 × 9,926.94
  4. Step 4: Simplify right side
    15,031.38x = 205,827,779.78
  5. Step 5: Solve for x
    x = 205,827,779.78/15,031.38
  6. Step 6: Final answer
    x = 13,693.21

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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.