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Finding the Fourth Proportional to 16,335.60, 24,454.80 and 9,758.40

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Solution

The fourth proportional to 16,335.60, 24,454.80 and 9,758.40 is: 14,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.60 : 24,454.80 = 9,758.40 : x
  2. Step 2: Convert to fraction form
    16,335.60/24,454.80 = 9,758.40/x
  3. Step 3: Cross multiply
    16,335.60x = 24,454.80 × 9,758.40
  4. Step 4: Simplify right side
    16,335.60x = 238,639,720.32
  5. Step 5: Solve for x
    x = 238,639,720.32/16,335.60
  6. Step 6: Final answer
    x = 14,608.57

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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.