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Finding the Fourth Proportional to 13,934.56, 19,229.44 and 7,646.88

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Solution

The fourth proportional to 13,934.56, 19,229.44 and 7,646.88 is: 10,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.56 : 19,229.44 = 7,646.88 : x
  2. Step 2: Convert to fraction form
    13,934.56/19,229.44 = 7,646.88/x
  3. Step 3: Cross multiply
    13,934.56x = 19,229.44 × 7,646.88
  4. Step 4: Simplify right side
    13,934.56x = 147,045,220.15
  5. Step 5: Solve for x
    x = 147,045,220.15/13,934.56
  6. Step 6: Final answer
    x = 10,552.56

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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.