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Finding the Fourth Proportional to 17,837.61, 24,616.19 and 9,771.14

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Solution

The fourth proportional to 17,837.61, 24,616.19 and 9,771.14 is: 13,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.61 : 24,616.19 = 9,771.14 : x
  2. Step 2: Convert to fraction form
    17,837.61/24,616.19 = 9,771.14/x
  3. Step 3: Cross multiply
    17,837.61x = 24,616.19 × 9,771.14
  4. Step 4: Simplify right side
    17,837.61x = 240,528,324.72
  5. Step 5: Solve for x
    x = 240,528,324.72/17,837.61
  6. Step 6: Final answer
    x = 13,484.34

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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.