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Finding the Fourth Proportional to 22,935.35, 31,648.92 and 12,862.42

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Solution

The fourth proportional to 22,935.35, 31,648.92 and 12,862.42 is: 17,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935.35 : 31,648.92 = 12,862.42 : x
  2. Step 2: Convert to fraction form
    22,935.35/31,648.92 = 12,862.42/x
  3. Step 3: Cross multiply
    22,935.35x = 31,648.92 × 12,862.42
  4. Step 4: Simplify right side
    22,935.35x = 407,081,574.23
  5. Step 5: Solve for x
    x = 407,081,574.23/22,935.35
  6. Step 6: Final answer
    x = 17,749.09

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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.