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Finding the Fourth Proportional to 26,813.16, 40,221.36 and 9,042.30

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Solution

The fourth proportional to 26,813.16, 40,221.36 and 9,042.30 is: 13,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813.16 : 40,221.36 = 9,042.30 : x
  2. Step 2: Convert to fraction form
    26,813.16/40,221.36 = 9,042.30/x
  3. Step 3: Cross multiply
    26,813.16x = 40,221.36 × 9,042.30
  4. Step 4: Simplify right side
    26,813.16x = 363,693,603.53
  5. Step 5: Solve for x
    x = 363,693,603.53/26,813.16
  6. Step 6: Final answer
    x = 13,564.00

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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.