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Finding the Fourth Proportional to 12,882.72, 19,323.14 and 4,115.28

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Solution

The fourth proportional to 12,882.72, 19,323.14 and 4,115.28 is: 6,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.72 : 19,323.14 = 4,115.28 : x
  2. Step 2: Convert to fraction form
    12,882.72/19,323.14 = 4,115.28/x
  3. Step 3: Cross multiply
    12,882.72x = 19,323.14 × 4,115.28
  4. Step 4: Simplify right side
    12,882.72x = 79,520,111.00
  5. Step 5: Solve for x
    x = 79,520,111.00/12,882.72
  6. Step 6: Final answer
    x = 6,172.62

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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.