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Finding the Fourth Proportional to 24,512.87, 36,765.83 and 7,870.74

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Solution

The fourth proportional to 24,512.87, 36,765.83 and 7,870.74 is: 11,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.87 : 36,765.83 = 7,870.74 : x
  2. Step 2: Convert to fraction form
    24,512.87/36,765.83 = 7,870.74/x
  3. Step 3: Cross multiply
    24,512.87x = 36,765.83 × 7,870.74
  4. Step 4: Simplify right side
    24,512.87x = 289,374,249.46
  5. Step 5: Solve for x
    x = 289,374,249.46/24,512.87
  6. Step 6: Final answer
    x = 11,805.00

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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.