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Finding the Fourth Proportional to 22,470.96, 31,009.41 and 12,400.35

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Solution

The fourth proportional to 22,470.96, 31,009.41 and 12,400.35 is: 17,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.96 : 31,009.41 = 12,400.35 : x
  2. Step 2: Convert to fraction form
    22,470.96/31,009.41 = 12,400.35/x
  3. Step 3: Cross multiply
    22,470.96x = 31,009.41 × 12,400.35
  4. Step 4: Simplify right side
    22,470.96x = 384,527,537.29
  5. Step 5: Solve for x
    x = 384,527,537.29/22,470.96
  6. Step 6: Final answer
    x = 17,112.20

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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.