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Finding the Fourth Proportional to 24,667.70, 37,000.11 and 9,867.38

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Solution

The fourth proportional to 24,667.70, 37,000.11 and 9,867.38 is: 14,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.70 : 37,000.11 = 9,867.38 : x
  2. Step 2: Convert to fraction form
    24,667.70/37,000.11 = 9,867.38/x
  3. Step 3: Cross multiply
    24,667.70x = 37,000.11 × 9,867.38
  4. Step 4: Simplify right side
    24,667.70x = 365,094,145.41
  5. Step 5: Solve for x
    x = 365,094,145.41/24,667.70
  6. Step 6: Final answer
    x = 14,800.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.