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Finding the Fourth Proportional to 17,854.34, 24,638.09 and 9,896.49

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Solution

The fourth proportional to 17,854.34, 24,638.09 and 9,896.49 is: 13,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.34 : 24,638.09 = 9,896.49 : x
  2. Step 2: Convert to fraction form
    17,854.34/24,638.09 = 9,896.49/x
  3. Step 3: Cross multiply
    17,854.34x = 24,638.09 × 9,896.49
  4. Step 4: Simplify right side
    17,854.34x = 243,830,561.82
  5. Step 5: Solve for x
    x = 243,830,561.82/17,854.34
  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.