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Finding the Fourth Proportional to 27,778.48, 38,334.24 and 15,203.20

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Solution

The fourth proportional to 27,778.48, 38,334.24 and 15,203.20 is: 20,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.48 : 38,334.24 = 15,203.20 : x
  2. Step 2: Convert to fraction form
    27,778.48/38,334.24 = 15,203.20/x
  3. Step 3: Cross multiply
    27,778.48x = 38,334.24 × 15,203.20
  4. Step 4: Simplify right side
    27,778.48x = 582,803,117.57
  5. Step 5: Solve for x
    x = 582,803,117.57/27,778.48
  6. Step 6: Final answer
    x = 20,980.38

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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.