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Finding the Fourth Proportional to 17,854.80, 24,638.38 and 9,896.34

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Solution

The fourth proportional to 17,854.80, 24,638.38 and 9,896.34 is: 13,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.80 : 24,638.38 = 9,896.34 : x
  2. Step 2: Convert to fraction form
    17,854.80/24,638.38 = 9,896.34/x
  3. Step 3: Cross multiply
    17,854.80x = 24,638.38 × 9,896.34
  4. Step 4: Simplify right side
    17,854.80x = 243,829,853.18
  5. Step 5: Solve for x
    x = 243,829,853.18/17,854.80
  6. Step 6: Final answer
    x = 13,656.27

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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.