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Finding the Fourth Proportional to 24,198.84, 33,395.70 and 13,590

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Solution

The fourth proportional to 24,198.84, 33,395.70 and 13,590 is: 18,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.84 : 33,395.70 = 13,590 : x
  2. Step 2: Convert to fraction form
    24,198.84/33,395.70 = 13,590/x
  3. Step 3: Cross multiply
    24,198.84x = 33,395.70 × 13,590
  4. Step 4: Simplify right side
    24,198.84x = 453,847,563.00
  5. Step 5: Solve for x
    x = 453,847,563.00/24,198.84
  6. Step 6: Final answer
    x = 18,754.93

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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.