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Finding the Fourth Proportional to 22,471.54, 31,010.28 and 12,400.94

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Solution

The fourth proportional to 22,471.54, 31,010.28 and 12,400.94 is: 17,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.54 : 31,010.28 = 12,400.94 : x
  2. Step 2: Convert to fraction form
    22,471.54/31,010.28 = 12,400.94/x
  3. Step 3: Cross multiply
    22,471.54x = 31,010.28 × 12,400.94
  4. Step 4: Simplify right side
    22,471.54x = 384,556,621.66
  5. Step 5: Solve for x
    x = 384,556,621.66/22,471.54
  6. Step 6: Final answer
    x = 17,113.05

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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.