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Finding the Fourth Proportional to 24,299.08, 36,463.98 and 13,931.08

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Solution

The fourth proportional to 24,299.08, 36,463.98 and 13,931.08 is: 20,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,299.08 : 36,463.98 = 13,931.08 : x
  2. Step 2: Convert to fraction form
    24,299.08/36,463.98 = 13,931.08/x
  3. Step 3: Cross multiply
    24,299.08x = 36,463.98 × 13,931.08
  4. Step 4: Simplify right side
    24,299.08x = 507,982,622.50
  5. Step 5: Solve for x
    x = 507,982,622.50/24,299.08
  6. Step 6: Final answer
    x = 20,905.43

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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.