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Finding the Fourth Proportional to 17,835.82, 24,614.17 and 9,878.05

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Solution

The fourth proportional to 17,835.82, 24,614.17 and 9,878.05 is: 13,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.82 : 24,614.17 = 9,878.05 : x
  2. Step 2: Convert to fraction form
    17,835.82/24,614.17 = 9,878.05/x
  3. Step 3: Cross multiply
    17,835.82x = 24,614.17 × 9,878.05
  4. Step 4: Simplify right side
    17,835.82x = 243,140,001.97
  5. Step 5: Solve for x
    x = 243,140,001.97/17,835.82
  6. Step 6: Final answer
    x = 13,632.12

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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.