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Finding the Fourth Proportional to 27,666.34, 38,179.47 and 15,091

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Solution

The fourth proportional to 27,666.34, 38,179.47 and 15,091 is: 20,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.34 : 38,179.47 = 15,091 : x
  2. Step 2: Convert to fraction form
    27,666.34/38,179.47 = 15,091/x
  3. Step 3: Cross multiply
    27,666.34x = 38,179.47 × 15,091
  4. Step 4: Simplify right side
    27,666.34x = 576,166,381.77
  5. Step 5: Solve for x
    x = 576,166,381.77/27,666.34
  6. Step 6: Final answer
    x = 20,825.54

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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.