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Finding the Fourth Proportional to 25,101.29, 37,641.00 and 8,458.22

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Solution

The fourth proportional to 25,101.29, 37,641.00 and 8,458.22 is: 12,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.29 : 37,641.00 = 8,458.22 : x
  2. Step 2: Convert to fraction form
    25,101.29/37,641.00 = 8,458.22/x
  3. Step 3: Cross multiply
    25,101.29x = 37,641.00 × 8,458.22
  4. Step 4: Simplify right side
    25,101.29x = 318,375,984.84
  5. Step 5: Solve for x
    x = 318,375,984.84/25,101.29
  6. Step 6: Final answer
    x = 12,683.65

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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.