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Finding the Fourth Proportional to 22,980.80, 31,713.56 and 13,427.24

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Solution

The fourth proportional to 22,980.80, 31,713.56 and 13,427.24 is: 18,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.80 : 31,713.56 = 13,427.24 : x
  2. Step 2: Convert to fraction form
    22,980.80/31,713.56 = 13,427.24/x
  3. Step 3: Cross multiply
    22,980.80x = 31,713.56 × 13,427.24
  4. Step 4: Simplify right side
    22,980.80x = 425,825,581.37
  5. Step 5: Solve for x
    x = 425,825,581.37/22,980.80
  6. Step 6: Final answer
    x = 18,529.62

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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.