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Finding the Fourth Proportional to 41,009.56, 61,524 and 13,307.56

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Solution

The fourth proportional to 41,009.56, 61,524 and 13,307.56 is: 19,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,009.56 : 61,524 = 13,307.56 : x
  2. Step 2: Convert to fraction form
    41,009.56/61,524 = 13,307.56/x
  3. Step 3: Cross multiply
    41,009.56x = 61,524 × 13,307.56
  4. Step 4: Simplify right side
    41,009.56x = 818,734,321.44
  5. Step 5: Solve for x
    x = 818,734,321.44/41,009.56
  6. Step 6: Final answer
    x = 19,964.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.