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Finding the Fourth Proportional to 23,414.82, 32,303.41 and 14,446.77

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Solution

The fourth proportional to 23,414.82, 32,303.41 and 14,446.77 is: 19,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.82 : 32,303.41 = 14,446.77 : x
  2. Step 2: Convert to fraction form
    23,414.82/32,303.41 = 14,446.77/x
  3. Step 3: Cross multiply
    23,414.82x = 32,303.41 × 14,446.77
  4. Step 4: Simplify right side
    23,414.82x = 466,679,934.49
  5. Step 5: Solve for x
    x = 466,679,934.49/23,414.82
  6. Step 6: Final answer
    x = 19,930.96

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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.