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Finding the Fourth Proportional to 14,239.20, 21,361.02 and 6,842.28

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Solution

The fourth proportional to 14,239.20, 21,361.02 and 6,842.28 is: 10,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.20 : 21,361.02 = 6,842.28 : x
  2. Step 2: Convert to fraction form
    14,239.20/21,361.02 = 6,842.28/x
  3. Step 3: Cross multiply
    14,239.20x = 21,361.02 × 6,842.28
  4. Step 4: Simplify right side
    14,239.20x = 146,158,079.93
  5. Step 5: Solve for x
    x = 146,158,079.93/14,239.20
  6. Step 6: Final answer
    x = 10,264.49

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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.