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Finding the Fourth Proportional to 24,624.82, 36,936.27 and 9,829.30

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Solution

The fourth proportional to 24,624.82, 36,936.27 and 9,829.30 is: 14,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,624.82 : 36,936.27 = 9,829.30 : x
  2. Step 2: Convert to fraction form
    24,624.82/36,936.27 = 9,829.30/x
  3. Step 3: Cross multiply
    24,624.82x = 36,936.27 × 9,829.30
  4. Step 4: Simplify right side
    24,624.82x = 363,057,678.71
  5. Step 5: Solve for x
    x = 363,057,678.71/24,624.82
  6. Step 6: Final answer
    x = 14,743.57

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1.5x scale

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.