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Finding the Fourth Proportional to 24,677.14, 34,055.26 and 13,499.14

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Solution

The fourth proportional to 24,677.14, 34,055.26 and 13,499.14 is: 18,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.14 : 34,055.26 = 13,499.14 : x
  2. Step 2: Convert to fraction form
    24,677.14/34,055.26 = 13,499.14/x
  3. Step 3: Cross multiply
    24,677.14x = 34,055.26 × 13,499.14
  4. Step 4: Simplify right side
    24,677.14x = 459,716,722.48
  5. Step 5: Solve for x
    x = 459,716,722.48/24,677.14
  6. Step 6: Final answer
    x = 18,629.25

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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.