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Finding the Fourth Proportional to 13,017.68, 17,963.52 and 7,352.66

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Solution

The fourth proportional to 13,017.68, 17,963.52 and 7,352.66 is: 10,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.68 : 17,963.52 = 7,352.66 : x
  2. Step 2: Convert to fraction form
    13,017.68/17,963.52 = 7,352.66/x
  3. Step 3: Cross multiply
    13,017.68x = 17,963.52 × 7,352.66
  4. Step 4: Simplify right side
    13,017.68x = 132,079,699.87
  5. Step 5: Solve for x
    x = 132,079,699.87/13,017.68
  6. Step 6: Final answer
    x = 10,146.18

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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.