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Finding the Fourth Proportional to 18,102.70, 27,117.60 and 10,302.40

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Solution

The fourth proportional to 18,102.70, 27,117.60 and 10,302.40 is: 15,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.70 : 27,117.60 = 10,302.40 : x
  2. Step 2: Convert to fraction form
    18,102.70/27,117.60 = 10,302.40/x
  3. Step 3: Cross multiply
    18,102.70x = 27,117.60 × 10,302.40
  4. Step 4: Simplify right side
    18,102.70x = 279,376,362.24
  5. Step 5: Solve for x
    x = 279,376,362.24/18,102.70
  6. Step 6: Final answer
    x = 15,432.86

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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.