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Finding the Fourth Proportional to 23,227.76, 32,053.12 and 12,617.37

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Solution

The fourth proportional to 23,227.76, 32,053.12 and 12,617.37 is: 17,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.76 : 32,053.12 = 12,617.37 : x
  2. Step 2: Convert to fraction form
    23,227.76/32,053.12 = 12,617.37/x
  3. Step 3: Cross multiply
    23,227.76x = 32,053.12 × 12,617.37
  4. Step 4: Simplify right side
    23,227.76x = 404,426,043.15
  5. Step 5: Solve for x
    x = 404,426,043.15/23,227.76
  6. Step 6: Final answer
    x = 17,411.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.