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Finding the Fourth Proportional to 23,328, 32,192.71 and 12,717.41

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Solution

The fourth proportional to 23,328, 32,192.71 and 12,717.41 is: 17,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328 : 32,192.71 = 12,717.41 : x
  2. Step 2: Convert to fraction form
    23,328/32,192.71 = 12,717.41/x
  3. Step 3: Cross multiply
    23,328x = 32,192.71 × 12,717.41
  4. Step 4: Simplify right side
    23,328x = 409,407,699.32
  5. Step 5: Solve for x
    x = 409,407,699.32/23,328
  6. Step 6: Final answer
    x = 17,550.06

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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.