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Finding the Fourth Proportional to 17,767.52, 24,519.20 and 9,809.76

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Solution

The fourth proportional to 17,767.52, 24,519.20 and 9,809.76 is: 13,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.52 : 24,519.20 = 9,809.76 : x
  2. Step 2: Convert to fraction form
    17,767.52/24,519.20 = 9,809.76/x
  3. Step 3: Cross multiply
    17,767.52x = 24,519.20 × 9,809.76
  4. Step 4: Simplify right side
    17,767.52x = 240,527,467.39
  5. Step 5: Solve for x
    x = 240,527,467.39/17,767.52
  6. Step 6: Final answer
    x = 13,537.48

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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.