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Finding the Fourth Proportional to 15,309.16, 22,942.36 and 8,274.01

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Solution

The fourth proportional to 15,309.16, 22,942.36 and 8,274.01 is: 12,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.16 : 22,942.36 = 8,274.01 : x
  2. Step 2: Convert to fraction form
    15,309.16/22,942.36 = 8,274.01/x
  3. Step 3: Cross multiply
    15,309.16x = 22,942.36 × 8,274.01
  4. Step 4: Simplify right side
    15,309.16x = 189,825,316.06
  5. Step 5: Solve for x
    x = 189,825,316.06/15,309.16
  6. Step 6: Final answer
    x = 12,399.46

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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.