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Finding the Fourth Proportional to 22,471.43, 31,010.67 and 12,400.16

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Solution

The fourth proportional to 22,471.43, 31,010.67 and 12,400.16 is: 17,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.43 : 31,010.67 = 12,400.16 : x
  2. Step 2: Convert to fraction form
    22,471.43/31,010.67 = 12,400.16/x
  3. Step 3: Cross multiply
    22,471.43x = 31,010.67 × 12,400.16
  4. Step 4: Simplify right side
    22,471.43x = 384,537,332.71
  5. Step 5: Solve for x
    x = 384,537,332.71/22,471.43
  6. Step 6: Final answer
    x = 17,112.28

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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.