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Finding the Fourth Proportional to 26,402.80, 39,603.85 and 6,412.45

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Solution

The fourth proportional to 26,402.80, 39,603.85 and 6,412.45 is: 9,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,402.80 : 39,603.85 = 6,412.45 : x
  2. Step 2: Convert to fraction form
    26,402.80/39,603.85 = 6,412.45/x
  3. Step 3: Cross multiply
    26,402.80x = 39,603.85 × 6,412.45
  4. Step 4: Simplify right side
    26,402.80x = 253,957,572.34
  5. Step 5: Solve for x
    x = 253,957,572.34/26,402.80
  6. Step 6: Final answer
    x = 9,618.58

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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.