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Finding the Fourth Proportional to 14,101.32, 21,153.02 and 3,713

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Solution

The fourth proportional to 14,101.32, 21,153.02 and 3,713 is: 5,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.32 : 21,153.02 = 3,713 : x
  2. Step 2: Convert to fraction form
    14,101.32/21,153.02 = 3,713/x
  3. Step 3: Cross multiply
    14,101.32x = 21,153.02 × 3,713
  4. Step 4: Simplify right side
    14,101.32x = 78,541,163.26
  5. Step 5: Solve for x
    x = 78,541,163.26/14,101.32
  6. Step 6: Final answer
    x = 5,569.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.