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Finding the Fourth Proportional to 17,448.75, 24,078.96 and 9,490.86

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Solution

The fourth proportional to 17,448.75, 24,078.96 and 9,490.86 is: 13,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,448.75 : 24,078.96 = 9,490.86 : x
  2. Step 2: Convert to fraction form
    17,448.75/24,078.96 = 9,490.86/x
  3. Step 3: Cross multiply
    17,448.75x = 24,078.96 × 9,490.86
  4. Step 4: Simplify right side
    17,448.75x = 228,530,038.31
  5. Step 5: Solve for x
    x = 228,530,038.31/17,448.75
  6. Step 6: Final answer
    x = 13,097.22

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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.