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Finding the Fourth Proportional to 27,177.82, 37,505.76 and 16,421.20

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Solution

The fourth proportional to 27,177.82, 37,505.76 and 16,421.20 is: 22,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177.82 : 37,505.76 = 16,421.20 : x
  2. Step 2: Convert to fraction form
    27,177.82/37,505.76 = 16,421.20/x
  3. Step 3: Cross multiply
    27,177.82x = 37,505.76 × 16,421.20
  4. Step 4: Simplify right side
    27,177.82x = 615,889,586.11
  5. Step 5: Solve for x
    x = 615,889,586.11/27,177.82
  6. Step 6: Final answer
    x = 22,661.48

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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.