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Finding the Fourth Proportional to 21,670.35, 32,509.92 and 12,314.85

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Solution

The fourth proportional to 21,670.35, 32,509.92 and 12,314.85 is: 18,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.35 : 32,509.92 = 12,314.85 : x
  2. Step 2: Convert to fraction form
    21,670.35/32,509.92 = 12,314.85/x
  3. Step 3: Cross multiply
    21,670.35x = 32,509.92 × 12,314.85
  4. Step 4: Simplify right side
    21,670.35x = 400,354,726.74
  5. Step 5: Solve for x
    x = 400,354,726.74/21,670.35
  6. Step 6: Final answer
    x = 18,474.77

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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.