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Finding the Fourth Proportional to 25,600.50, 38,407.23 and 7,132.50

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Solution

The fourth proportional to 25,600.50, 38,407.23 and 7,132.50 is: 10,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.50 : 38,407.23 = 7,132.50 : x
  2. Step 2: Convert to fraction form
    25,600.50/38,407.23 = 7,132.50/x
  3. Step 3: Cross multiply
    25,600.50x = 38,407.23 × 7,132.50
  4. Step 4: Simplify right side
    25,600.50x = 273,939,567.98
  5. Step 5: Solve for x
    x = 273,939,567.98/25,600.50
  6. Step 6: Final answer
    x = 10,700.56

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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.