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Finding the Fourth Proportional to 17,819.77, 24,590.68 and 9,862.33

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Solution

The fourth proportional to 17,819.77, 24,590.68 and 9,862.33 is: 13,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.77 : 24,590.68 = 9,862.33 : x
  2. Step 2: Convert to fraction form
    17,819.77/24,590.68 = 9,862.33/x
  3. Step 3: Cross multiply
    17,819.77x = 24,590.68 × 9,862.33
  4. Step 4: Simplify right side
    17,819.77x = 242,521,401.08
  5. Step 5: Solve for x
    x = 242,521,401.08/17,819.77
  6. Step 6: Final answer
    x = 13,609.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.