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Finding the Fourth Proportional to 17,409.65, 24,032.18 and 11,747.75

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Solution

The fourth proportional to 17,409.65, 24,032.18 and 11,747.75 is: 16,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.65 : 24,032.18 = 11,747.75 : x
  2. Step 2: Convert to fraction form
    17,409.65/24,032.18 = 11,747.75/x
  3. Step 3: Cross multiply
    17,409.65x = 24,032.18 × 11,747.75
  4. Step 4: Simplify right side
    17,409.65x = 282,323,983.86
  5. Step 5: Solve for x
    x = 282,323,983.86/17,409.65
  6. Step 6: Final answer
    x = 16,216.52

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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.