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Finding the Fourth Proportional to 26,597.39, 39,901.95 and 7,878.90

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Solution

The fourth proportional to 26,597.39, 39,901.95 and 7,878.90 is: 11,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597.39 : 39,901.95 = 7,878.90 : x
  2. Step 2: Convert to fraction form
    26,597.39/39,901.95 = 7,878.90/x
  3. Step 3: Cross multiply
    26,597.39x = 39,901.95 × 7,878.90
  4. Step 4: Simplify right side
    26,597.39x = 314,383,473.86
  5. Step 5: Solve for x
    x = 314,383,473.86/26,597.39
  6. Step 6: Final answer
    x = 11,820.09

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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.