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Finding the Fourth Proportional to 15,471.84, 23,214.24 and 11,123.76

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Solution

The fourth proportional to 15,471.84, 23,214.24 and 11,123.76 is: 16,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.84 : 23,214.24 = 11,123.76 : x
  2. Step 2: Convert to fraction form
    15,471.84/23,214.24 = 11,123.76/x
  3. Step 3: Cross multiply
    15,471.84x = 23,214.24 × 11,123.76
  4. Step 4: Simplify right side
    15,471.84x = 258,229,634.34
  5. Step 5: Solve for x
    x = 258,229,634.34/15,471.84
  6. Step 6: Final answer
    x = 16,690.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.