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Finding the Fourth Proportional to 22,690.47, 31,315.64 and 13,741.09

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Solution

The fourth proportional to 22,690.47, 31,315.64 and 13,741.09 is: 18,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.47 : 31,315.64 = 13,741.09 : x
  2. Step 2: Convert to fraction form
    22,690.47/31,315.64 = 13,741.09/x
  3. Step 3: Cross multiply
    22,690.47x = 31,315.64 × 13,741.09
  4. Step 4: Simplify right side
    22,690.47x = 430,311,027.65
  5. Step 5: Solve for x
    x = 430,311,027.65/22,690.47
  6. Step 6: Final answer
    x = 18,964.39

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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.