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Finding the Fourth Proportional to 15,031.38, 20,730.15 and 9,721.02

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Solution

The fourth proportional to 15,031.38, 20,730.15 and 9,721.02 is: 13,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.38 : 20,730.15 = 9,721.02 : x
  2. Step 2: Convert to fraction form
    15,031.38/20,730.15 = 9,721.02/x
  3. Step 3: Cross multiply
    15,031.38x = 20,730.15 × 9,721.02
  4. Step 4: Simplify right side
    15,031.38x = 201,518,202.75
  5. Step 5: Solve for x
    x = 201,518,202.75/15,031.38
  6. Step 6: Final answer
    x = 13,406.50

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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.