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Finding the Fourth Proportional to 22,542.16, 33,821.88 and 9,391

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Solution

The fourth proportional to 22,542.16, 33,821.88 and 9,391 is: 14,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.16 : 33,821.88 = 9,391 : x
  2. Step 2: Convert to fraction form
    22,542.16/33,821.88 = 9,391/x
  3. Step 3: Cross multiply
    22,542.16x = 33,821.88 × 9,391
  4. Step 4: Simplify right side
    22,542.16x = 317,621,275.08
  5. Step 5: Solve for x
    x = 317,621,275.08/22,542.16
  6. Step 6: Final answer
    x = 14,090.10

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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.