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Finding the Fourth Proportional to 17,738.93, 24,479.57 and 9,781.22

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Solution

The fourth proportional to 17,738.93, 24,479.57 and 9,781.22 is: 13,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.93 : 24,479.57 = 9,781.22 : x
  2. Step 2: Convert to fraction form
    17,738.93/24,479.57 = 9,781.22/x
  3. Step 3: Cross multiply
    17,738.93x = 24,479.57 × 9,781.22
  4. Step 4: Simplify right side
    17,738.93x = 239,440,010.77
  5. Step 5: Solve for x
    x = 239,440,010.77/17,738.93
  6. Step 6: Final answer
    x = 13,498.00

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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.