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Finding the Fourth Proportional to 17,233.80, 25,838.55 and 7,878.30

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Solution

The fourth proportional to 17,233.80, 25,838.55 and 7,878.30 is: 11,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.80 : 25,838.55 = 7,878.30 : x
  2. Step 2: Convert to fraction form
    17,233.80/25,838.55 = 7,878.30/x
  3. Step 3: Cross multiply
    17,233.80x = 25,838.55 × 7,878.30
  4. Step 4: Simplify right side
    17,233.80x = 203,563,848.47
  5. Step 5: Solve for x
    x = 203,563,848.47/17,233.80
  6. Step 6: Final answer
    x = 11,811.90

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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.