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Finding the Fourth Proportional to 24,420.38, 33,706.70 and 14,355.57

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Solution

The fourth proportional to 24,420.38, 33,706.70 and 14,355.57 is: 19,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.38 : 33,706.70 = 14,355.57 : x
  2. Step 2: Convert to fraction form
    24,420.38/33,706.70 = 14,355.57/x
  3. Step 3: Cross multiply
    24,420.38x = 33,706.70 × 14,355.57
  4. Step 4: Simplify right side
    24,420.38x = 483,878,651.01
  5. Step 5: Solve for x
    x = 483,878,651.01/24,420.38
  6. Step 6: Final answer
    x = 19,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.