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Finding the Fourth Proportional to 22,646.39, 31,251.74 and 12,574.44

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Solution

The fourth proportional to 22,646.39, 31,251.74 and 12,574.44 is: 17,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.39 : 31,251.74 = 12,574.44 : x
  2. Step 2: Convert to fraction form
    22,646.39/31,251.74 = 12,574.44/x
  3. Step 3: Cross multiply
    22,646.39x = 31,251.74 × 12,574.44
  4. Step 4: Simplify right side
    22,646.39x = 392,973,066.65
  5. Step 5: Solve for x
    x = 392,973,066.65/22,646.39
  6. Step 6: Final answer
    x = 17,352.57

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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.