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Finding the Fourth Proportional to 14,013.42, 21,014.01 and 7,438.02

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Solution

The fourth proportional to 14,013.42, 21,014.01 and 7,438.02 is: 11,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.42 : 21,014.01 = 7,438.02 : x
  2. Step 2: Convert to fraction form
    14,013.42/21,014.01 = 7,438.02/x
  3. Step 3: Cross multiply
    14,013.42x = 21,014.01 × 7,438.02
  4. Step 4: Simplify right side
    14,013.42x = 156,302,626.66
  5. Step 5: Solve for x
    x = 156,302,626.66/14,013.42
  6. Step 6: Final answer
    x = 11,153.78

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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.