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Finding the Fourth Proportional to 24,696.10, 37,041.87 and 6,928.42

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Solution

The fourth proportional to 24,696.10, 37,041.87 and 6,928.42 is: 10,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696.10 : 37,041.87 = 6,928.42 : x
  2. Step 2: Convert to fraction form
    24,696.10/37,041.87 = 6,928.42/x
  3. Step 3: Cross multiply
    24,696.10x = 37,041.87 × 6,928.42
  4. Step 4: Simplify right side
    24,696.10x = 256,641,632.95
  5. Step 5: Solve for x
    x = 256,641,632.95/24,696.10
  6. Step 6: Final answer
    x = 10,391.99

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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.