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Finding the Fourth Proportional to 21,845.34, 32,712.41 and 14,438.70

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Solution

The fourth proportional to 21,845.34, 32,712.41 and 14,438.70 is: 21,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.34 : 32,712.41 = 14,438.70 : x
  2. Step 2: Convert to fraction form
    21,845.34/32,712.41 = 14,438.70/x
  3. Step 3: Cross multiply
    21,845.34x = 32,712.41 × 14,438.70
  4. Step 4: Simplify right side
    21,845.34x = 472,324,710.36
  5. Step 5: Solve for x
    x = 472,324,710.36/21,845.34
  6. Step 6: Final answer
    x = 21,621.30

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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.