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Finding the Fourth Proportional to 14,602.20, 21,885 and 6,272.32

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Solution

The fourth proportional to 14,602.20, 21,885 and 6,272.32 is: 9,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.20 : 21,885 = 6,272.32 : x
  2. Step 2: Convert to fraction form
    14,602.20/21,885 = 6,272.32/x
  3. Step 3: Cross multiply
    14,602.20x = 21,885 × 6,272.32
  4. Step 4: Simplify right side
    14,602.20x = 137,269,723.20
  5. Step 5: Solve for x
    x = 137,269,723.20/14,602.20
  6. Step 6: Final answer
    x = 9,400.62

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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.