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Finding the Fourth Proportional to 24,716.64, 34,108.64 and 13,538.72

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Solution

The fourth proportional to 24,716.64, 34,108.64 and 13,538.72 is: 18,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.64 : 34,108.64 = 13,538.72 : x
  2. Step 2: Convert to fraction form
    24,716.64/34,108.64 = 13,538.72/x
  3. Step 3: Cross multiply
    24,716.64x = 34,108.64 × 13,538.72
  4. Step 4: Simplify right side
    24,716.64x = 461,787,326.54
  5. Step 5: Solve for x
    x = 461,787,326.54/24,716.64
  6. Step 6: Final answer
    x = 18,683.26

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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.