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Finding the Fourth Proportional to 22,809.12, 31,473.81 and 12,738.12

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Solution

The fourth proportional to 22,809.12, 31,473.81 and 12,738.12 is: 17,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.12 : 31,473.81 = 12,738.12 : x
  2. Step 2: Convert to fraction form
    22,809.12/31,473.81 = 12,738.12/x
  3. Step 3: Cross multiply
    22,809.12x = 31,473.81 × 12,738.12
  4. Step 4: Simplify right side
    22,809.12x = 400,917,168.64
  5. Step 5: Solve for x
    x = 400,917,168.64/22,809.12
  6. Step 6: Final answer
    x = 17,577.06

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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.