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Finding the Fourth Proportional to 15,215.64, 22,817.70 and 6,454.68

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Solution

The fourth proportional to 15,215.64, 22,817.70 and 6,454.68 is: 9,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215.64 : 22,817.70 = 6,454.68 : x
  2. Step 2: Convert to fraction form
    15,215.64/22,817.70 = 6,454.68/x
  3. Step 3: Cross multiply
    15,215.64x = 22,817.70 × 6,454.68
  4. Step 4: Simplify right side
    15,215.64x = 147,280,951.84
  5. Step 5: Solve for x
    x = 147,280,951.84/15,215.64
  6. Step 6: Final answer
    x = 9,679.58

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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.