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Finding the Fourth Proportional to 25,142.80, 34,695.72 and 15,071.64

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Solution

The fourth proportional to 25,142.80, 34,695.72 and 15,071.64 is: 20,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.80 : 34,695.72 = 15,071.64 : x
  2. Step 2: Convert to fraction form
    25,142.80/34,695.72 = 15,071.64/x
  3. Step 3: Cross multiply
    25,142.80x = 34,695.72 × 15,071.64
  4. Step 4: Simplify right side
    25,142.80x = 522,921,401.38
  5. Step 5: Solve for x
    x = 522,921,401.38/25,142.80
  6. Step 6: Final answer
    x = 20,798.06

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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.