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Finding the Fourth Proportional to 14,596.46, 21,876.18 and 9,329.42

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Solution

The fourth proportional to 14,596.46, 21,876.18 and 9,329.42 is: 13,982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.46 : 21,876.18 = 9,329.42 : x
  2. Step 2: Convert to fraction form
    14,596.46/21,876.18 = 9,329.42/x
  3. Step 3: Cross multiply
    14,596.46x = 21,876.18 × 9,329.42
  4. Step 4: Simplify right side
    14,596.46x = 204,092,071.22
  5. Step 5: Solve for x
    x = 204,092,071.22/14,596.46
  6. Step 6: Final answer
    x = 13,982.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.