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Finding the Fourth Proportional to 17,675.96, 24,394.50 and 10,122.89

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Solution

The fourth proportional to 17,675.96, 24,394.50 and 10,122.89 is: 13,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.96 : 24,394.50 = 10,122.89 : x
  2. Step 2: Convert to fraction form
    17,675.96/24,394.50 = 10,122.89/x
  3. Step 3: Cross multiply
    17,675.96x = 24,394.50 × 10,122.89
  4. Step 4: Simplify right side
    17,675.96x = 246,942,718.13
  5. Step 5: Solve for x
    x = 246,942,718.13/17,675.96
  6. Step 6: Final answer
    x = 13,970.54

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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.