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Finding the Fourth Proportional to 22,431.84, 33,647.76 and 7,642.32

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Solution

The fourth proportional to 22,431.84, 33,647.76 and 7,642.32 is: 11,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.84 : 33,647.76 = 7,642.32 : x
  2. Step 2: Convert to fraction form
    22,431.84/33,647.76 = 7,642.32/x
  3. Step 3: Cross multiply
    22,431.84x = 33,647.76 × 7,642.32
  4. Step 4: Simplify right side
    22,431.84x = 257,146,949.20
  5. Step 5: Solve for x
    x = 257,146,949.20/22,431.84
  6. Step 6: Final answer
    x = 11,463.48

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1.5x scale

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.