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Finding the Fourth Proportional to 25,693, 38,545.67 and 8,825.75

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Solution

The fourth proportional to 25,693, 38,545.67 and 8,825.75 is: 13,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693 : 38,545.67 = 8,825.75 : x
  2. Step 2: Convert to fraction form
    25,693/38,545.67 = 8,825.75/x
  3. Step 3: Cross multiply
    25,693x = 38,545.67 × 8,825.75
  4. Step 4: Simplify right side
    25,693x = 340,194,447.00
  5. Step 5: Solve for x
    x = 340,194,447.00/25,693
  6. Step 6: Final answer
    x = 13,240.74

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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.