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Finding the Fourth Proportional to 14,102, 21,154.20 and 3,713.78

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Solution

The fourth proportional to 14,102, 21,154.20 and 3,713.78 is: 5,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102 : 21,154.20 = 3,713.78 : x
  2. Step 2: Convert to fraction form
    14,102/21,154.20 = 3,713.78/x
  3. Step 3: Cross multiply
    14,102x = 21,154.20 × 3,713.78
  4. Step 4: Simplify right side
    14,102x = 78,562,044.88
  5. Step 5: Solve for x
    x = 78,562,044.88/14,102
  6. Step 6: Final answer
    x = 5,570.99

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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.