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Finding the Fourth Proportional to 24,488.34, 33,793.25 and 13,878.96

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Solution

The fourth proportional to 24,488.34, 33,793.25 and 13,878.96 is: 19,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.34 : 33,793.25 = 13,878.96 : x
  2. Step 2: Convert to fraction form
    24,488.34/33,793.25 = 13,878.96/x
  3. Step 3: Cross multiply
    24,488.34x = 33,793.25 × 13,878.96
  4. Step 4: Simplify right side
    24,488.34x = 469,015,095.63
  5. Step 5: Solve for x
    x = 469,015,095.63/24,488.34
  6. Step 6: Final answer
    x = 19,152.59

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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.