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Finding the Fourth Proportional to 13,680.32, 18,877.71 and 7,713.45

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Solution

The fourth proportional to 13,680.32, 18,877.71 and 7,713.45 is: 10,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.32 : 18,877.71 = 7,713.45 : x
  2. Step 2: Convert to fraction form
    13,680.32/18,877.71 = 7,713.45/x
  3. Step 3: Cross multiply
    13,680.32x = 18,877.71 × 7,713.45
  4. Step 4: Simplify right side
    13,680.32x = 145,612,272.20
  5. Step 5: Solve for x
    x = 145,612,272.20/13,680.32
  6. Step 6: Final answer
    x = 10,643.92

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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.