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Finding the Fourth Proportional to 24,515.59, 36,775.94 and 7,871.66

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Solution

The fourth proportional to 24,515.59, 36,775.94 and 7,871.66 is: 11,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.59 : 36,775.94 = 7,871.66 : x
  2. Step 2: Convert to fraction form
    24,515.59/36,775.94 = 7,871.66/x
  3. Step 3: Cross multiply
    24,515.59x = 36,775.94 × 7,871.66
  4. Step 4: Simplify right side
    24,515.59x = 289,487,800.70
  5. Step 5: Solve for x
    x = 289,487,800.70/24,515.59
  6. Step 6: Final answer
    x = 11,808.32

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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.