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Finding the Fourth Proportional to 22,218.40, 33,328.20 and 9,732

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Solution

The fourth proportional to 22,218.40, 33,328.20 and 9,732 is: 14,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,218.40 : 33,328.20 = 9,732 : x
  2. Step 2: Convert to fraction form
    22,218.40/33,328.20 = 9,732/x
  3. Step 3: Cross multiply
    22,218.40x = 33,328.20 × 9,732
  4. Step 4: Simplify right side
    22,218.40x = 324,350,042.40
  5. Step 5: Solve for x
    x = 324,350,042.40/22,218.40
  6. Step 6: Final answer
    x = 14,598.26

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Why These Related Problems?

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