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Finding the Fourth Proportional to 25,716.78, 38,544.39 and 13,242.78

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Solution

The fourth proportional to 25,716.78, 38,544.39 and 13,242.78 is: 19,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.78 : 38,544.39 = 13,242.78 : x
  2. Step 2: Convert to fraction form
    25,716.78/38,544.39 = 13,242.78/x
  3. Step 3: Cross multiply
    25,716.78x = 38,544.39 × 13,242.78
  4. Step 4: Simplify right side
    25,716.78x = 510,434,877.00
  5. Step 5: Solve for x
    x = 510,434,877.00/25,716.78
  6. Step 6: Final answer
    x = 19,848.32

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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.