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Finding the Fourth Proportional to 17,767.20, 24,518.92 and 9,809.28

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Solution

The fourth proportional to 17,767.20, 24,518.92 and 9,809.28 is: 13,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.20 : 24,518.92 = 9,809.28 : x
  2. Step 2: Convert to fraction form
    17,767.20/24,518.92 = 9,809.28/x
  3. Step 3: Cross multiply
    17,767.20x = 24,518.92 × 9,809.28
  4. Step 4: Simplify right side
    17,767.20x = 240,512,951.58
  5. Step 5: Solve for x
    x = 240,512,951.58/17,767.20
  6. Step 6: Final answer
    x = 13,536.91

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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.