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Finding the Fourth Proportional to 17,405.84, 24,019.41 and 9,447.89

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Solution

The fourth proportional to 17,405.84, 24,019.41 and 9,447.89 is: 13,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.84 : 24,019.41 = 9,447.89 : x
  2. Step 2: Convert to fraction form
    17,405.84/24,019.41 = 9,447.89/x
  3. Step 3: Cross multiply
    17,405.84x = 24,019.41 × 9,447.89
  4. Step 4: Simplify right side
    17,405.84x = 226,932,743.54
  5. Step 5: Solve for x
    x = 226,932,743.54/17,405.84
  6. Step 6: Final answer
    x = 13,037.74

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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.