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Finding the Fourth Proportional to 15,677.64, 23,511.72 and 6,314.64

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Solution

The fourth proportional to 15,677.64, 23,511.72 and 6,314.64 is: 9,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.64 : 23,511.72 = 6,314.64 : x
  2. Step 2: Convert to fraction form
    15,677.64/23,511.72 = 6,314.64/x
  3. Step 3: Cross multiply
    15,677.64x = 23,511.72 × 6,314.64
  4. Step 4: Simplify right side
    15,677.64x = 148,468,047.58
  5. Step 5: Solve for x
    x = 148,468,047.58/15,677.64
  6. Step 6: Final answer
    x = 9,470.05

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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.