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Finding the Fourth Proportional to 24,495.84, 36,743.68 and 6,965.92

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Solution

The fourth proportional to 24,495.84, 36,743.68 and 6,965.92 is: 10,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.84 : 36,743.68 = 6,965.92 : x
  2. Step 2: Convert to fraction form
    24,495.84/36,743.68 = 6,965.92/x
  3. Step 3: Cross multiply
    24,495.84x = 36,743.68 × 6,965.92
  4. Step 4: Simplify right side
    24,495.84x = 255,953,535.39
  5. Step 5: Solve for x
    x = 255,953,535.39/24,495.84
  6. Step 6: Final answer
    x = 10,448.86

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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.