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Finding the Fourth Proportional to 24,878.88, 37,305.42 and 7,346.40

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Solution

The fourth proportional to 24,878.88, 37,305.42 and 7,346.40 is: 11,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.88 : 37,305.42 = 7,346.40 : x
  2. Step 2: Convert to fraction form
    24,878.88/37,305.42 = 7,346.40/x
  3. Step 3: Cross multiply
    24,878.88x = 37,305.42 × 7,346.40
  4. Step 4: Simplify right side
    24,878.88x = 274,060,537.49
  5. Step 5: Solve for x
    x = 274,060,537.49/24,878.88
  6. Step 6: Final answer
    x = 11,015.79

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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.