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Finding the Fourth Proportional to 24,517.40, 36,776.10 and 9,718.70

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Solution

The fourth proportional to 24,517.40, 36,776.10 and 9,718.70 is: 14,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.40 : 36,776.10 = 9,718.70 : x
  2. Step 2: Convert to fraction form
    24,517.40/36,776.10 = 9,718.70/x
  3. Step 3: Cross multiply
    24,517.40x = 36,776.10 × 9,718.70
  4. Step 4: Simplify right side
    24,517.40x = 357,415,883.07
  5. Step 5: Solve for x
    x = 357,415,883.07/24,517.40
  6. Step 6: Final answer
    x = 14,578.05

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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.