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Finding the Fourth Proportional to 27,658.09, 38,147.52 and 21,677.86

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Solution

The fourth proportional to 27,658.09, 38,147.52 and 21,677.86 is: 29,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.09 : 38,147.52 = 21,677.86 : x
  2. Step 2: Convert to fraction form
    27,658.09/38,147.52 = 21,677.86/x
  3. Step 3: Cross multiply
    27,658.09x = 38,147.52 × 21,677.86
  4. Step 4: Simplify right side
    27,658.09x = 826,956,597.91
  5. Step 5: Solve for x
    x = 826,956,597.91/27,658.09
  6. Step 6: Final answer
    x = 29,899.27

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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.