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Finding the Fourth Proportional to 12,652.76, 18,849.24 and 12,084.14

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Solution

The fourth proportional to 12,652.76, 18,849.24 and 12,084.14 is: 18,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.76 : 18,849.24 = 12,084.14 : x
  2. Step 2: Convert to fraction form
    12,652.76/18,849.24 = 12,084.14/x
  3. Step 3: Cross multiply
    12,652.76x = 18,849.24 × 12,084.14
  4. Step 4: Simplify right side
    12,652.76x = 227,776,794.63
  5. Step 5: Solve for x
    x = 227,776,794.63/12,652.76
  6. Step 6: Final answer
    x = 18,002.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.