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Finding the Fourth Proportional to 17,854.14, 24,638.31 and 9,896.29

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Solution

The fourth proportional to 17,854.14, 24,638.31 and 9,896.29 is: 13,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.14 : 24,638.31 = 9,896.29 : x
  2. Step 2: Convert to fraction form
    17,854.14/24,638.31 = 9,896.29/x
  3. Step 3: Cross multiply
    17,854.14x = 24,638.31 × 9,896.29
  4. Step 4: Simplify right side
    17,854.14x = 243,827,860.87
  5. Step 5: Solve for x
    x = 243,827,860.87/17,854.14
  6. Step 6: Final answer
    x = 13,656.66

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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.