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Finding the Fourth Proportional to 25,193.84, 34,768.32 and 13,864.15

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Solution

The fourth proportional to 25,193.84, 34,768.32 and 13,864.15 is: 19,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.84 : 34,768.32 = 13,864.15 : x
  2. Step 2: Convert to fraction form
    25,193.84/34,768.32 = 13,864.15/x
  3. Step 3: Cross multiply
    25,193.84x = 34,768.32 × 13,864.15
  4. Step 4: Simplify right side
    25,193.84x = 482,033,203.73
  5. Step 5: Solve for x
    x = 482,033,203.73/25,193.84
  6. Step 6: Final answer
    x = 19,132.98

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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.