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Finding the Fourth Proportional to 27,548.40, 38,022.90 and 18,117.84

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Solution

The fourth proportional to 27,548.40, 38,022.90 and 18,117.84 is: 25,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.40 : 38,022.90 = 18,117.84 : x
  2. Step 2: Convert to fraction form
    27,548.40/38,022.90 = 18,117.84/x
  3. Step 3: Cross multiply
    27,548.40x = 38,022.90 × 18,117.84
  4. Step 4: Simplify right side
    27,548.40x = 688,892,818.54
  5. Step 5: Solve for x
    x = 688,892,818.54/27,548.40
  6. Step 6: Final answer
    x = 25,006.64

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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.