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Finding the Fourth Proportional to 15,309.86, 22,953.99 and 5,942.08

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Solution

The fourth proportional to 15,309.86, 22,953.99 and 5,942.08 is: 8,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.86 : 22,953.99 = 5,942.08 : x
  2. Step 2: Convert to fraction form
    15,309.86/22,953.99 = 5,942.08/x
  3. Step 3: Cross multiply
    15,309.86x = 22,953.99 × 5,942.08
  4. Step 4: Simplify right side
    15,309.86x = 136,394,330.13
  5. Step 5: Solve for x
    x = 136,394,330.13/15,309.86
  6. Step 6: Final answer
    x = 8,908.92

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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.