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Finding the Fourth Proportional to 15,691.86, 21,654.74 and 8,521.74

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Solution

The fourth proportional to 15,691.86, 21,654.74 and 8,521.74 is: 11,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.86 : 21,654.74 = 8,521.74 : x
  2. Step 2: Convert to fraction form
    15,691.86/21,654.74 = 8,521.74/x
  3. Step 3: Cross multiply
    15,691.86x = 21,654.74 × 8,521.74
  4. Step 4: Simplify right side
    15,691.86x = 184,536,085.35
  5. Step 5: Solve for x
    x = 184,536,085.35/15,691.86
  6. Step 6: Final answer
    x = 11,759.99

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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.