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Finding the Fourth Proportional to 27,810, 38,377.80 and 16,632

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Solution

The fourth proportional to 27,810, 38,377.80 and 16,632 is: 22,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810 : 38,377.80 = 16,632 : x
  2. Step 2: Convert to fraction form
    27,810/38,377.80 = 16,632/x
  3. Step 3: Cross multiply
    27,810x = 38,377.80 × 16,632
  4. Step 4: Simplify right side
    27,810x = 638,299,569.60
  5. Step 5: Solve for x
    x = 638,299,569.60/27,810
  6. Step 6: Final answer
    x = 22,952.16

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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.