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Finding the Fourth Proportional to 17,674.32, 24,390.65 and 9,717.07

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Solution

The fourth proportional to 17,674.32, 24,390.65 and 9,717.07 is: 13,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.32 : 24,390.65 = 9,717.07 : x
  2. Step 2: Convert to fraction form
    17,674.32/24,390.65 = 9,717.07/x
  3. Step 3: Cross multiply
    17,674.32x = 24,390.65 × 9,717.07
  4. Step 4: Simplify right side
    17,674.32x = 237,005,653.40
  5. Step 5: Solve for x
    x = 237,005,653.40/17,674.32
  6. Step 6: Final answer
    x = 13,409.61

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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.