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Finding the Fourth Proportional to 25,714.82, 38,567.90 and 7,242.50

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Solution

The fourth proportional to 25,714.82, 38,567.90 and 7,242.50 is: 10,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.82 : 38,567.90 = 7,242.50 : x
  2. Step 2: Convert to fraction form
    25,714.82/38,567.90 = 7,242.50/x
  3. Step 3: Cross multiply
    25,714.82x = 38,567.90 × 7,242.50
  4. Step 4: Simplify right side
    25,714.82x = 279,328,015.75
  5. Step 5: Solve for x
    x = 279,328,015.75/25,714.82
  6. Step 6: Final answer
    x = 10,862.53

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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.