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Finding the Fourth Proportional to 14,226.30, 21,338.82 and 4,867.14

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Solution

The fourth proportional to 14,226.30, 21,338.82 and 4,867.14 is: 7,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.30 : 21,338.82 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    14,226.30/21,338.82 = 4,867.14/x
  3. Step 3: Cross multiply
    14,226.30x = 21,338.82 × 4,867.14
  4. Step 4: Simplify right side
    14,226.30x = 103,859,024.37
  5. Step 5: Solve for x
    x = 103,859,024.37/14,226.30
  6. Step 6: Final answer
    x = 7,300.49

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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.