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Finding the Fourth Proportional to 21,677.86, 32,497.07 and 8,342.35

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Solution

The fourth proportional to 21,677.86, 32,497.07 and 8,342.35 is: 12,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.86 : 32,497.07 = 8,342.35 : x
  2. Step 2: Convert to fraction form
    21,677.86/32,497.07 = 8,342.35/x
  3. Step 3: Cross multiply
    21,677.86x = 32,497.07 × 8,342.35
  4. Step 4: Simplify right side
    21,677.86x = 271,101,970.75
  5. Step 5: Solve for x
    x = 271,101,970.75/21,677.86
  6. Step 6: Final answer
    x = 12,505.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.