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Finding the Fourth Proportional to 17,674.29, 24,390.86 and 9,717.25

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Solution

The fourth proportional to 17,674.29, 24,390.86 and 9,717.25 is: 13,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.29 : 24,390.86 = 9,717.25 : x
  2. Step 2: Convert to fraction form
    17,674.29/24,390.86 = 9,717.25/x
  3. Step 3: Cross multiply
    17,674.29x = 24,390.86 × 9,717.25
  4. Step 4: Simplify right side
    17,674.29x = 237,012,084.34
  5. Step 5: Solve for x
    x = 237,012,084.34/17,674.29
  6. Step 6: Final answer
    x = 13,409.99

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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.