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Finding the Fourth Proportional to 24,509.40, 36,704.86 and 13,947.40

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Solution

The fourth proportional to 24,509.40, 36,704.86 and 13,947.40 is: 20,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.40 : 36,704.86 = 13,947.40 : x
  2. Step 2: Convert to fraction form
    24,509.40/36,704.86 = 13,947.40/x
  3. Step 3: Cross multiply
    24,509.40x = 36,704.86 × 13,947.40
  4. Step 4: Simplify right side
    24,509.40x = 511,937,364.36
  5. Step 5: Solve for x
    x = 511,937,364.36/24,509.40
  6. Step 6: Final answer
    x = 20,887.39

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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.