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Finding the Fourth Proportional to 24,453.24, 36,657.18 and 9,659.40

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Solution

The fourth proportional to 24,453.24, 36,657.18 and 9,659.40 is: 14,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.24 : 36,657.18 = 9,659.40 : x
  2. Step 2: Convert to fraction form
    24,453.24/36,657.18 = 9,659.40/x
  3. Step 3: Cross multiply
    24,453.24x = 36,657.18 × 9,659.40
  4. Step 4: Simplify right side
    24,453.24x = 354,086,364.49
  5. Step 5: Solve for x
    x = 354,086,364.49/24,453.24
  6. Step 6: Final answer
    x = 14,480.14

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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.