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Finding the Fourth Proportional to 17,405.59, 24,019.74 and 9,447.81

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Solution

The fourth proportional to 17,405.59, 24,019.74 and 9,447.81 is: 13,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.59 : 24,019.74 = 9,447.81 : x
  2. Step 2: Convert to fraction form
    17,405.59/24,019.74 = 9,447.81/x
  3. Step 3: Cross multiply
    17,405.59x = 24,019.74 × 9,447.81
  4. Step 4: Simplify right side
    17,405.59x = 226,933,939.77
  5. Step 5: Solve for x
    x = 226,933,939.77/17,405.59
  6. Step 6: Final answer
    x = 13,037.99

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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.