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Finding the Fourth Proportional to 25,248.42, 37,872.72 and 7,718.20

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Solution

The fourth proportional to 25,248.42, 37,872.72 and 7,718.20 is: 11,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,248.42 : 37,872.72 = 7,718.20 : x
  2. Step 2: Convert to fraction form
    25,248.42/37,872.72 = 7,718.20/x
  3. Step 3: Cross multiply
    25,248.42x = 37,872.72 × 7,718.20
  4. Step 4: Simplify right side
    25,248.42x = 292,309,227.50
  5. Step 5: Solve for x
    x = 292,309,227.50/25,248.42
  6. Step 6: Final answer
    x = 11,577.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.