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Finding the Fourth Proportional to 12,701.18, 17,527.38 and 7,036.31

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Solution

The fourth proportional to 12,701.18, 17,527.38 and 7,036.31 is: 9,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.18 : 17,527.38 = 7,036.31 : x
  2. Step 2: Convert to fraction form
    12,701.18/17,527.38 = 7,036.31/x
  3. Step 3: Cross multiply
    12,701.18x = 17,527.38 × 7,036.31
  4. Step 4: Simplify right side
    12,701.18x = 123,328,079.17
  5. Step 5: Solve for x
    x = 123,328,079.17/12,701.18
  6. Step 6: Final answer
    x = 9,709.97

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Why These Related Problems?

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