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Finding the Fourth Proportional to 27,776.34, 38,332.35 and 15,201.09

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Solution

The fourth proportional to 27,776.34, 38,332.35 and 15,201.09 is: 20,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.34 : 38,332.35 = 15,201.09 : x
  2. Step 2: Convert to fraction form
    27,776.34/38,332.35 = 15,201.09/x
  3. Step 3: Cross multiply
    27,776.34x = 38,332.35 × 15,201.09
  4. Step 4: Simplify right side
    27,776.34x = 582,693,502.26
  5. Step 5: Solve for x
    x = 582,693,502.26/27,776.34
  6. Step 6: Final answer
    x = 20,978.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.