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Finding the Fourth Proportional to 25,101.47, 37,652.33 and 8,461.65

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Solution

The fourth proportional to 25,101.47, 37,652.33 and 8,461.65 is: 12,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.47 : 37,652.33 = 8,461.65 : x
  2. Step 2: Convert to fraction form
    25,101.47/37,652.33 = 8,461.65/x
  3. Step 3: Cross multiply
    25,101.47x = 37,652.33 × 8,461.65
  4. Step 4: Simplify right side
    25,101.47x = 318,600,718.10
  5. Step 5: Solve for x
    x = 318,600,718.10/25,101.47
  6. Step 6: Final answer
    x = 12,692.51

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