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Finding the Fourth Proportional to 14,420.34, 21,634.11 and 4,032

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Solution

The fourth proportional to 14,420.34, 21,634.11 and 4,032 is: 6,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.34 : 21,634.11 = 4,032 : x
  2. Step 2: Convert to fraction form
    14,420.34/21,634.11 = 4,032/x
  3. Step 3: Cross multiply
    14,420.34x = 21,634.11 × 4,032
  4. Step 4: Simplify right side
    14,420.34x = 87,228,731.52
  5. Step 5: Solve for x
    x = 87,228,731.52/14,420.34
  6. Step 6: Final answer
    x = 6,049.01

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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.