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Finding the Fourth Proportional to 17,153.80, 23,671.98 and 9,600

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Solution

The fourth proportional to 17,153.80, 23,671.98 and 9,600 is: 13,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.80 : 23,671.98 = 9,600 : x
  2. Step 2: Convert to fraction form
    17,153.80/23,671.98 = 9,600/x
  3. Step 3: Cross multiply
    17,153.80x = 23,671.98 × 9,600
  4. Step 4: Simplify right side
    17,153.80x = 227,251,008
  5. Step 5: Solve for x
    x = 227,251,008/17,153.80
  6. Step 6: Final answer
    x = 13,247.85

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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.