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Finding the Fourth Proportional to 22,470.63, 31,009.71 and 12,399.42

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Solution

The fourth proportional to 22,470.63, 31,009.71 and 12,399.42 is: 17,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.63 : 31,009.71 = 12,399.42 : x
  2. Step 2: Convert to fraction form
    22,470.63/31,009.71 = 12,399.42/x
  3. Step 3: Cross multiply
    22,470.63x = 31,009.71 × 12,399.42
  4. Step 4: Simplify right side
    22,470.63x = 384,502,418.37
  5. Step 5: Solve for x
    x = 384,502,418.37/22,470.63
  6. Step 6: Final answer
    x = 17,111.33

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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.