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Finding the Fourth Proportional to 14,597.12, 21,902.94 and 6,806.52

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Solution

The fourth proportional to 14,597.12, 21,902.94 and 6,806.52 is: 10,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.12 : 21,902.94 = 6,806.52 : x
  2. Step 2: Convert to fraction form
    14,597.12/21,902.94 = 6,806.52/x
  3. Step 3: Cross multiply
    14,597.12x = 21,902.94 × 6,806.52
  4. Step 4: Simplify right side
    14,597.12x = 149,082,799.17
  5. Step 5: Solve for x
    x = 149,082,799.17/14,597.12
  6. Step 6: Final answer
    x = 10,213.17

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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.