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Finding the Fourth Proportional to 23,427.57, 32,330.02 and 12,817.20

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Solution

The fourth proportional to 23,427.57, 32,330.02 and 12,817.20 is: 17,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427.57 : 32,330.02 = 12,817.20 : x
  2. Step 2: Convert to fraction form
    23,427.57/32,330.02 = 12,817.20/x
  3. Step 3: Cross multiply
    23,427.57x = 32,330.02 × 12,817.20
  4. Step 4: Simplify right side
    23,427.57x = 414,380,332.34
  5. Step 5: Solve for x
    x = 414,380,332.34/23,427.57
  6. Step 6: Final answer
    x = 17,687.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.