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Finding the Fourth Proportional to 12,454.50, 18,635.60 and 9,981.82

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Solution

The fourth proportional to 12,454.50, 18,635.60 and 9,981.82 is: 14,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.50 : 18,635.60 = 9,981.82 : x
  2. Step 2: Convert to fraction form
    12,454.50/18,635.60 = 9,981.82/x
  3. Step 3: Cross multiply
    12,454.50x = 18,635.60 × 9,981.82
  4. Step 4: Simplify right side
    12,454.50x = 186,017,204.79
  5. Step 5: Solve for x
    x = 186,017,204.79/12,454.50
  6. Step 6: Final answer
    x = 14,935.74

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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.