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Finding the Fourth Proportional to 22,895.39, 31,594.78 and 12,823.34

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Solution

The fourth proportional to 22,895.39, 31,594.78 and 12,823.34 is: 17,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,895.39 : 31,594.78 = 12,823.34 : x
  2. Step 2: Convert to fraction form
    22,895.39/31,594.78 = 12,823.34/x
  3. Step 3: Cross multiply
    22,895.39x = 31,594.78 × 12,823.34
  4. Step 4: Simplify right side
    22,895.39x = 405,150,464.22
  5. Step 5: Solve for x
    x = 405,150,464.22/22,895.39
  6. Step 6: Final answer
    x = 17,695.72

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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.