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Finding the Fourth Proportional to 26,302.80, 39,430.71 and 9,658.97

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Solution

The fourth proportional to 26,302.80, 39,430.71 and 9,658.97 is: 14,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302.80 : 39,430.71 = 9,658.97 : x
  2. Step 2: Convert to fraction form
    26,302.80/39,430.71 = 9,658.97/x
  3. Step 3: Cross multiply
    26,302.80x = 39,430.71 × 9,658.97
  4. Step 4: Simplify right side
    26,302.80x = 380,860,044.97
  5. Step 5: Solve for x
    x = 380,860,044.97/26,302.80
  6. Step 6: Final answer
    x = 14,479.83

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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.