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Finding the Fourth Proportional to 10,653.80, 15,942.90 and 9,282.20

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Solution

The fourth proportional to 10,653.80, 15,942.90 and 9,282.20 is: 13,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.80 : 15,942.90 = 9,282.20 : x
  2. Step 2: Convert to fraction form
    10,653.80/15,942.90 = 9,282.20/x
  3. Step 3: Cross multiply
    10,653.80x = 15,942.90 × 9,282.20
  4. Step 4: Simplify right side
    10,653.80x = 147,985,186.38
  5. Step 5: Solve for x
    x = 147,985,186.38/10,653.80
  6. Step 6: Final answer
    x = 13,890.37

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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.