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Finding the Fourth Proportional to 16,632, 22,952.16 and 9,180

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Solution

The fourth proportional to 16,632, 22,952.16 and 9,180 is: 12,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,632 : 22,952.16 = 9,180 : x
  2. Step 2: Convert to fraction form
    16,632/22,952.16 = 9,180/x
  3. Step 3: Cross multiply
    16,632x = 22,952.16 × 9,180
  4. Step 4: Simplify right side
    16,632x = 210,700,828.80
  5. Step 5: Solve for x
    x = 210,700,828.80/16,632
  6. Step 6: Final answer
    x = 12,668.40

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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.