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Finding the Fourth Proportional to 22,401.70, 33,614.70 and 9,255.40

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Solution

The fourth proportional to 22,401.70, 33,614.70 and 9,255.40 is: 13,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.70 : 33,614.70 = 9,255.40 : x
  2. Step 2: Convert to fraction form
    22,401.70/33,614.70 = 9,255.40/x
  3. Step 3: Cross multiply
    22,401.70x = 33,614.70 × 9,255.40
  4. Step 4: Simplify right side
    22,401.70x = 311,117,494.38
  5. Step 5: Solve for x
    x = 311,117,494.38/22,401.70
  6. Step 6: Final answer
    x = 13,888.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.