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Finding the Fourth Proportional to 22,944, 31,662.72 and 13,008

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Solution

The fourth proportional to 22,944, 31,662.72 and 13,008 is: 17,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944 : 31,662.72 = 13,008 : x
  2. Step 2: Convert to fraction form
    22,944/31,662.72 = 13,008/x
  3. Step 3: Cross multiply
    22,944x = 31,662.72 × 13,008
  4. Step 4: Simplify right side
    22,944x = 411,868,661.76
  5. Step 5: Solve for x
    x = 411,868,661.76/22,944
  6. Step 6: Final answer
    x = 17,951.04

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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.