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Finding the Fourth Proportional to 13,019.58, 17,963.91 and 7,713.47

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Solution

The fourth proportional to 13,019.58, 17,963.91 and 7,713.47 is: 10,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.58 : 17,963.91 = 7,713.47 : x
  2. Step 2: Convert to fraction form
    13,019.58/17,963.91 = 7,713.47/x
  3. Step 3: Cross multiply
    13,019.58x = 17,963.91 × 7,713.47
  4. Step 4: Simplify right side
    13,019.58x = 138,564,125.78
  5. Step 5: Solve for x
    x = 138,564,125.78/13,019.58
  6. Step 6: Final answer
    x = 10,642.75

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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.