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Finding the Fourth Proportional to 12,701.32, 17,527.28 and 7,036.31

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Solution

The fourth proportional to 12,701.32, 17,527.28 and 7,036.31 is: 9,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.32 : 17,527.28 = 7,036.31 : x
  2. Step 2: Convert to fraction form
    12,701.32/17,527.28 = 7,036.31/x
  3. Step 3: Cross multiply
    12,701.32x = 17,527.28 × 7,036.31
  4. Step 4: Simplify right side
    12,701.32x = 123,327,375.54
  5. Step 5: Solve for x
    x = 123,327,375.54/12,701.32
  6. Step 6: Final answer
    x = 9,709.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.