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Finding the Fourth Proportional to 17,834.88, 24,611.90 and 9,877.56

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Solution

The fourth proportional to 17,834.88, 24,611.90 and 9,877.56 is: 13,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.88 : 24,611.90 = 9,877.56 : x
  2. Step 2: Convert to fraction form
    17,834.88/24,611.90 = 9,877.56/x
  3. Step 3: Cross multiply
    17,834.88x = 24,611.90 × 9,877.56
  4. Step 4: Simplify right side
    17,834.88x = 243,105,518.96
  5. Step 5: Solve for x
    x = 243,105,518.96/17,834.88
  6. Step 6: Final answer
    x = 13,630.90

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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.