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Finding the Fourth Proportional to 17,454.67, 24,089.90 and 9,902.86

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Solution

The fourth proportional to 17,454.67, 24,089.90 and 9,902.86 is: 13,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.67 : 24,089.90 = 9,902.86 : x
  2. Step 2: Convert to fraction form
    17,454.67/24,089.90 = 9,902.86/x
  3. Step 3: Cross multiply
    17,454.67x = 24,089.90 × 9,902.86
  4. Step 4: Simplify right side
    17,454.67x = 238,558,797.37
  5. Step 5: Solve for x
    x = 238,558,797.37/17,454.67
  6. Step 6: Final answer
    x = 13,667.34

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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.