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Finding the Fourth Proportional to 27,722.38, 38,256.90 and 14,975.57

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Solution

The fourth proportional to 27,722.38, 38,256.90 and 14,975.57 is: 20,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.38 : 38,256.90 = 14,975.57 : x
  2. Step 2: Convert to fraction form
    27,722.38/38,256.90 = 14,975.57/x
  3. Step 3: Cross multiply
    27,722.38x = 38,256.90 × 14,975.57
  4. Step 4: Simplify right side
    27,722.38x = 572,918,617.77
  5. Step 5: Solve for x
    x = 572,918,617.77/27,722.38
  6. Step 6: Final answer
    x = 20,666.29

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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.