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Finding the Fourth Proportional to 14,237.20, 21,358.02 and 6,840.28

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Solution

The fourth proportional to 14,237.20, 21,358.02 and 6,840.28 is: 10,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.20 : 21,358.02 = 6,840.28 : x
  2. Step 2: Convert to fraction form
    14,237.20/21,358.02 = 6,840.28/x
  3. Step 3: Cross multiply
    14,237.20x = 21,358.02 × 6,840.28
  4. Step 4: Simplify right side
    14,237.20x = 146,094,837.05
  5. Step 5: Solve for x
    x = 146,094,837.05/14,237.20
  6. Step 6: Final answer
    x = 10,261.49

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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.