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Finding the Fourth Proportional to 13,254.96, 19,882.44 and 6,686.70

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Solution

The fourth proportional to 13,254.96, 19,882.44 and 6,686.70 is: 10,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.96 : 19,882.44 = 6,686.70 : x
  2. Step 2: Convert to fraction form
    13,254.96/19,882.44 = 6,686.70/x
  3. Step 3: Cross multiply
    13,254.96x = 19,882.44 × 6,686.70
  4. Step 4: Simplify right side
    13,254.96x = 132,947,911.55
  5. Step 5: Solve for x
    x = 132,947,911.55/13,254.96
  6. Step 6: Final answer
    x = 10,030.05

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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.