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Finding the Fourth Proportional to 27,877.41, 38,471.58 and 15,777

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Solution

The fourth proportional to 27,877.41, 38,471.58 and 15,777 is: 21,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.41 : 38,471.58 = 15,777 : x
  2. Step 2: Convert to fraction form
    27,877.41/38,471.58 = 15,777/x
  3. Step 3: Cross multiply
    27,877.41x = 38,471.58 × 15,777
  4. Step 4: Simplify right side
    27,877.41x = 606,966,117.66
  5. Step 5: Solve for x
    x = 606,966,117.66/27,877.41
  6. Step 6: Final answer
    x = 21,772.69

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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.