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Finding the Fourth Proportional to 13,127.98, 19,697.82 and 6,886.54

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Solution

The fourth proportional to 13,127.98, 19,697.82 and 6,886.54 is: 10,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.98 : 19,697.82 = 6,886.54 : x
  2. Step 2: Convert to fraction form
    13,127.98/19,697.82 = 6,886.54/x
  3. Step 3: Cross multiply
    13,127.98x = 19,697.82 × 6,886.54
  4. Step 4: Simplify right side
    13,127.98x = 135,649,825.34
  5. Step 5: Solve for x
    x = 135,649,825.34/13,127.98
  6. Step 6: Final answer
    x = 10,332.88

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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.