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Finding the Fourth Proportional to 23,416.26, 32,314.06 and 12,805.68

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Solution

The fourth proportional to 23,416.26, 32,314.06 and 12,805.68 is: 17,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.26 : 32,314.06 = 12,805.68 : x
  2. Step 2: Convert to fraction form
    23,416.26/32,314.06 = 12,805.68/x
  3. Step 3: Cross multiply
    23,416.26x = 32,314.06 × 12,805.68
  4. Step 4: Simplify right side
    23,416.26x = 413,803,511.86
  5. Step 5: Solve for x
    x = 413,803,511.86/23,416.26
  6. Step 6: Final answer
    x = 17,671.63

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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.