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Finding the Fourth Proportional to 22,694.71, 31,317.69 and 13,133.08

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Solution

The fourth proportional to 22,694.71, 31,317.69 and 13,133.08 is: 18,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.71 : 31,317.69 = 13,133.08 : x
  2. Step 2: Convert to fraction form
    22,694.71/31,317.69 = 13,133.08/x
  3. Step 3: Cross multiply
    22,694.71x = 31,317.69 × 13,133.08
  4. Step 4: Simplify right side
    22,694.71x = 411,297,728.19
  5. Step 5: Solve for x
    x = 411,297,728.19/22,694.71
  6. Step 6: Final answer
    x = 18,123.07

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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.