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Finding the Fourth Proportional to 26,602.56, 39,878.28 and 11,813.40

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Solution

The fourth proportional to 26,602.56, 39,878.28 and 11,813.40 is: 17,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.56 : 39,878.28 = 11,813.40 : x
  2. Step 2: Convert to fraction form
    26,602.56/39,878.28 = 11,813.40/x
  3. Step 3: Cross multiply
    26,602.56x = 39,878.28 × 11,813.40
  4. Step 4: Simplify right side
    26,602.56x = 471,098,072.95
  5. Step 5: Solve for x
    x = 471,098,072.95/26,602.56
  6. Step 6: Final answer
    x = 17,708.75

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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.