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Finding the Fourth Proportional to 22,534.72, 31,096.92 and 12,974.20

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Solution

The fourth proportional to 22,534.72, 31,096.92 and 12,974.20 is: 17,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.72 : 31,096.92 = 12,974.20 : x
  2. Step 2: Convert to fraction form
    22,534.72/31,096.92 = 12,974.20/x
  3. Step 3: Cross multiply
    22,534.72x = 31,096.92 × 12,974.20
  4. Step 4: Simplify right side
    22,534.72x = 403,457,659.46
  5. Step 5: Solve for x
    x = 403,457,659.46/22,534.72
  6. Step 6: Final answer
    x = 17,903.82

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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.