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Finding the Fourth Proportional to 24,674.07, 37,014.75 and 7,141.62

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Solution

The fourth proportional to 24,674.07, 37,014.75 and 7,141.62 is: 10,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.07 : 37,014.75 = 7,141.62 : x
  2. Step 2: Convert to fraction form
    24,674.07/37,014.75 = 7,141.62/x
  3. Step 3: Cross multiply
    24,674.07x = 37,014.75 × 7,141.62
  4. Step 4: Simplify right side
    24,674.07x = 264,345,278.90
  5. Step 5: Solve for x
    x = 264,345,278.90/24,674.07
  6. Step 6: Final answer
    x = 10,713.49

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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.