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Finding the Fourth Proportional to 13,741.34, 18,963.48 and 7,772.88

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Solution

The fourth proportional to 13,741.34, 18,963.48 and 7,772.88 is: 10,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.34 : 18,963.48 = 7,772.88 : x
  2. Step 2: Convert to fraction form
    13,741.34/18,963.48 = 7,772.88/x
  3. Step 3: Cross multiply
    13,741.34x = 18,963.48 × 7,772.88
  4. Step 4: Simplify right side
    13,741.34x = 147,400,854.42
  5. Step 5: Solve for x
    x = 147,400,854.42/13,741.34
  6. Step 6: Final answer
    x = 10,726.82

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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.