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Finding the Fourth Proportional to 24,454.74, 36,659.43 and 9,660.90

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Solution

The fourth proportional to 24,454.74, 36,659.43 and 9,660.90 is: 14,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.74 : 36,659.43 = 9,660.90 : x
  2. Step 2: Convert to fraction form
    24,454.74/36,659.43 = 9,660.90/x
  3. Step 3: Cross multiply
    24,454.74x = 36,659.43 × 9,660.90
  4. Step 4: Simplify right side
    24,454.74x = 354,163,087.29
  5. Step 5: Solve for x
    x = 354,163,087.29/24,454.74
  6. Step 6: Final answer
    x = 14,482.39

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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.