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Finding the Fourth Proportional to 23,416.41, 32,314.90 and 12,805.81

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Solution

The fourth proportional to 23,416.41, 32,314.90 and 12,805.81 is: 17,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.41 : 32,314.90 = 12,805.81 : x
  2. Step 2: Convert to fraction form
    23,416.41/32,314.90 = 12,805.81/x
  3. Step 3: Cross multiply
    23,416.41x = 32,314.90 × 12,805.81
  4. Step 4: Simplify right side
    23,416.41x = 413,818,469.57
  5. Step 5: Solve for x
    x = 413,818,469.57/23,416.41
  6. Step 6: Final answer
    x = 17,672.16

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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.