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Finding the Fourth Proportional to 17,775.26, 24,527.04 and 10,220.12

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Solution

The fourth proportional to 17,775.26, 24,527.04 and 10,220.12 is: 14,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.26 : 24,527.04 = 10,220.12 : x
  2. Step 2: Convert to fraction form
    17,775.26/24,527.04 = 10,220.12/x
  3. Step 3: Cross multiply
    17,775.26x = 24,527.04 × 10,220.12
  4. Step 4: Simplify right side
    17,775.26x = 250,669,292.04
  5. Step 5: Solve for x
    x = 250,669,292.04/17,775.26
  6. Step 6: Final answer
    x = 14,102.14

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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.