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Finding the Fourth Proportional to 17,739.72, 24,479.28 and 9,780.66

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Solution

The fourth proportional to 17,739.72, 24,479.28 and 9,780.66 is: 13,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739.72 : 24,479.28 = 9,780.66 : x
  2. Step 2: Convert to fraction form
    17,739.72/24,479.28 = 9,780.66/x
  3. Step 3: Cross multiply
    17,739.72x = 24,479.28 × 9,780.66
  4. Step 4: Simplify right side
    17,739.72x = 239,423,514.72
  5. Step 5: Solve for x
    x = 239,423,514.72/17,739.72
  6. Step 6: Final answer
    x = 13,496.47

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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.