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Finding the Fourth Proportional to 27,588.96, 38,074.32 and 15,013.44

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Solution

The fourth proportional to 27,588.96, 38,074.32 and 15,013.44 is: 20,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.96 : 38,074.32 = 15,013.44 : x
  2. Step 2: Convert to fraction form
    27,588.96/38,074.32 = 15,013.44/x
  3. Step 3: Cross multiply
    27,588.96x = 38,074.32 × 15,013.44
  4. Step 4: Simplify right side
    27,588.96x = 571,626,518.86
  5. Step 5: Solve for x
    x = 571,626,518.86/27,588.96
  6. Step 6: Final answer
    x = 20,719.39

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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.