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Finding the Fourth Proportional to 12,145.56, 18,214.85 and 5,127.15

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Solution

The fourth proportional to 12,145.56, 18,214.85 and 5,127.15 is: 7,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.56 : 18,214.85 = 5,127.15 : x
  2. Step 2: Convert to fraction form
    12,145.56/18,214.85 = 5,127.15/x
  3. Step 3: Cross multiply
    12,145.56x = 18,214.85 × 5,127.15
  4. Step 4: Simplify right side
    12,145.56x = 93,390,242.54
  5. Step 5: Solve for x
    x = 93,390,242.54/12,145.56
  6. Step 6: Final answer
    x = 7,689.25

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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.