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Finding the Fourth Proportional to 13,019.46, 17,963.74 and 7,713.35

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Solution

The fourth proportional to 13,019.46, 17,963.74 and 7,713.35 is: 10,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.46 : 17,963.74 = 7,713.35 : x
  2. Step 2: Convert to fraction form
    13,019.46/17,963.74 = 7,713.35/x
  3. Step 3: Cross multiply
    13,019.46x = 17,963.74 × 7,713.35
  4. Step 4: Simplify right side
    13,019.46x = 138,560,613.93
  5. Step 5: Solve for x
    x = 138,560,613.93/13,019.46
  6. Step 6: Final answer
    x = 10,642.58

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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.