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Finding the Fourth Proportional to 27,777.83, 38,328.03 and 15,840.86

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Solution

The fourth proportional to 27,777.83, 38,328.03 and 15,840.86 is: 21,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,777.83 : 38,328.03 = 15,840.86 : x
  2. Step 2: Convert to fraction form
    27,777.83/38,328.03 = 15,840.86/x
  3. Step 3: Cross multiply
    27,777.83x = 38,328.03 × 15,840.86
  4. Step 4: Simplify right side
    27,777.83x = 607,148,765.67
  5. Step 5: Solve for x
    x = 607,148,765.67/27,777.83
  6. Step 6: Final answer
    x = 21,857.32

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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.