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Finding the Fourth Proportional to 24,286.40, 33,518.40 and 13,678.08

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Solution

The fourth proportional to 24,286.40, 33,518.40 and 13,678.08 is: 18,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.40 : 33,518.40 = 13,678.08 : x
  2. Step 2: Convert to fraction form
    24,286.40/33,518.40 = 13,678.08/x
  3. Step 3: Cross multiply
    24,286.40x = 33,518.40 × 13,678.08
  4. Step 4: Simplify right side
    24,286.40x = 458,467,356.67
  5. Step 5: Solve for x
    x = 458,467,356.67/24,286.40
  6. Step 6: Final answer
    x = 18,877.53

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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.