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Finding the Fourth Proportional to 24,716.76, 34,109.98 and 13,538.76

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Solution

The fourth proportional to 24,716.76, 34,109.98 and 13,538.76 is: 18,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.76 : 34,109.98 = 13,538.76 : x
  2. Step 2: Convert to fraction form
    24,716.76/34,109.98 = 13,538.76/x
  3. Step 3: Cross multiply
    24,716.76x = 34,109.98 × 13,538.76
  4. Step 4: Simplify right side
    24,716.76x = 461,806,832.82
  5. Step 5: Solve for x
    x = 461,806,832.82/24,716.76
  6. Step 6: Final answer
    x = 18,683.96

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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.