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Finding the Fourth Proportional to 25,178.84, 34,747.18 and 13,848.82

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Solution

The fourth proportional to 25,178.84, 34,747.18 and 13,848.82 is: 19,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.84 : 34,747.18 = 13,848.82 : x
  2. Step 2: Convert to fraction form
    25,178.84/34,747.18 = 13,848.82/x
  3. Step 3: Cross multiply
    25,178.84x = 34,747.18 × 13,848.82
  4. Step 4: Simplify right side
    25,178.84x = 481,207,441.33
  5. Step 5: Solve for x
    x = 481,207,441.33/25,178.84
  6. Step 6: Final answer
    x = 19,111.58

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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.