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Finding the Fourth Proportional to 15,301.13, 22,942.49 and 6,866.10

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Solution

The fourth proportional to 15,301.13, 22,942.49 and 6,866.10 is: 10,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,301.13 : 22,942.49 = 6,866.10 : x
  2. Step 2: Convert to fraction form
    15,301.13/22,942.49 = 6,866.10/x
  3. Step 3: Cross multiply
    15,301.13x = 22,942.49 × 6,866.10
  4. Step 4: Simplify right side
    15,301.13x = 157,525,396.26
  5. Step 5: Solve for x
    x = 157,525,396.26/15,301.13
  6. Step 6: Final answer
    x = 10,295.02

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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.