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Finding the Fourth Proportional to 17,854.38, 24,638.66 and 9,896.53

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Solution

The fourth proportional to 17,854.38, 24,638.66 and 9,896.53 is: 13,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.38 : 24,638.66 = 9,896.53 : x
  2. Step 2: Convert to fraction form
    17,854.38/24,638.66 = 9,896.53/x
  3. Step 3: Cross multiply
    17,854.38x = 24,638.66 × 9,896.53
  4. Step 4: Simplify right side
    17,854.38x = 243,837,237.85
  5. Step 5: Solve for x
    x = 243,837,237.85/17,854.38
  6. Step 6: Final answer
    x = 13,657.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.