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Finding the Fourth Proportional to 16,334, 22,541.08 and 8,882.16

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Solution

The fourth proportional to 16,334, 22,541.08 and 8,882.16 is: 12,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334 : 22,541.08 = 8,882.16 : x
  2. Step 2: Convert to fraction form
    16,334/22,541.08 = 8,882.16/x
  3. Step 3: Cross multiply
    16,334x = 22,541.08 × 8,882.16
  4. Step 4: Simplify right side
    16,334x = 200,213,479.13
  5. Step 5: Solve for x
    x = 200,213,479.13/16,334
  6. Step 6: Final answer
    x = 12,257.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.