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Finding the Fourth Proportional to 24,320.98, 33,562.99 and 13,142.98

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Solution

The fourth proportional to 24,320.98, 33,562.99 and 13,142.98 is: 18,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320.98 : 33,562.99 = 13,142.98 : x
  2. Step 2: Convert to fraction form
    24,320.98/33,562.99 = 13,142.98/x
  3. Step 3: Cross multiply
    24,320.98x = 33,562.99 × 13,142.98
  4. Step 4: Simplify right side
    24,320.98x = 441,117,706.31
  5. Step 5: Solve for x
    x = 441,117,706.31/24,320.98
  6. Step 6: Final answer
    x = 18,137.33

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1.5x scale

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.