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Finding the Fourth Proportional to 24,471.84, 36,707.74 and 6,941.82

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Solution

The fourth proportional to 24,471.84, 36,707.74 and 6,941.82 is: 10,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.84 : 36,707.74 = 6,941.82 : x
  2. Step 2: Convert to fraction form
    24,471.84/36,707.74 = 6,941.82/x
  3. Step 3: Cross multiply
    24,471.84x = 36,707.74 × 6,941.82
  4. Step 4: Simplify right side
    24,471.84x = 254,818,523.69
  5. Step 5: Solve for x
    x = 254,818,523.69/24,471.84
  6. Step 6: Final answer
    x = 10,412.72

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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.