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Finding the Fourth Proportional to 12,754.68, 19,130.76 and 3,989.34

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Solution

The fourth proportional to 12,754.68, 19,130.76 and 3,989.34 is: 5,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.68 : 19,130.76 = 3,989.34 : x
  2. Step 2: Convert to fraction form
    12,754.68/19,130.76 = 3,989.34/x
  3. Step 3: Cross multiply
    12,754.68x = 19,130.76 × 3,989.34
  4. Step 4: Simplify right side
    12,754.68x = 76,319,106.10
  5. Step 5: Solve for x
    x = 76,319,106.10/12,754.68
  6. Step 6: Final answer
    x = 5,983.62

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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.