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Finding the Fourth Proportional to 17,405.30, 24,019.34 and 9,447.53

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Solution

The fourth proportional to 17,405.30, 24,019.34 and 9,447.53 is: 13,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.30 : 24,019.34 = 9,447.53 : x
  2. Step 2: Convert to fraction form
    17,405.30/24,019.34 = 9,447.53/x
  3. Step 3: Cross multiply
    17,405.30x = 24,019.34 × 9,447.53
  4. Step 4: Simplify right side
    17,405.30x = 226,923,267.90
  5. Step 5: Solve for x
    x = 226,923,267.90/17,405.30
  6. Step 6: Final answer
    x = 13,037.59

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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.