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Finding the Fourth Proportional to 23,216.86, 32,039.94 and 12,607.21

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Solution

The fourth proportional to 23,216.86, 32,039.94 and 12,607.21 is: 17,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.86 : 32,039.94 = 12,607.21 : x
  2. Step 2: Convert to fraction form
    23,216.86/32,039.94 = 12,607.21/x
  3. Step 3: Cross multiply
    23,216.86x = 32,039.94 × 12,607.21
  4. Step 4: Simplify right side
    23,216.86x = 403,934,251.97
  5. Step 5: Solve for x
    x = 403,934,251.97/23,216.86
  6. Step 6: Final answer
    x = 17,398.32

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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.