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Finding the Fourth Proportional to 12,701.81, 17,528.47 and 7,036.57

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Solution

The fourth proportional to 12,701.81, 17,528.47 and 7,036.57 is: 9,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.81 : 17,528.47 = 7,036.57 : x
  2. Step 2: Convert to fraction form
    12,701.81/17,528.47 = 7,036.57/x
  3. Step 3: Cross multiply
    12,701.81x = 17,528.47 × 7,036.57
  4. Step 4: Simplify right side
    12,701.81x = 123,340,310.47
  5. Step 5: Solve for x
    x = 123,340,310.47/12,701.81
  6. Step 6: Final answer
    x = 9,710.45

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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.