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Finding the Fourth Proportional to 13,017.40, 17,960.88 and 7,713.52

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Solution

The fourth proportional to 13,017.40, 17,960.88 and 7,713.52 is: 10,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.40 : 17,960.88 = 7,713.52 : x
  2. Step 2: Convert to fraction form
    13,017.40/17,960.88 = 7,713.52/x
  3. Step 3: Cross multiply
    13,017.40x = 17,960.88 × 7,713.52
  4. Step 4: Simplify right side
    13,017.40x = 138,541,607.10
  5. Step 5: Solve for x
    x = 138,541,607.10/13,017.40
  6. Step 6: Final answer
    x = 10,642.80

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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.