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Finding the Fourth Proportional to 22,537.16, 33,814.38 and 9,386

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Solution

The fourth proportional to 22,537.16, 33,814.38 and 9,386 is: 14,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.16 : 33,814.38 = 9,386 : x
  2. Step 2: Convert to fraction form
    22,537.16/33,814.38 = 9,386/x
  3. Step 3: Cross multiply
    22,537.16x = 33,814.38 × 9,386
  4. Step 4: Simplify right side
    22,537.16x = 317,381,770.68
  5. Step 5: Solve for x
    x = 317,381,770.68/22,537.16
  6. Step 6: Final answer
    x = 14,082.60

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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.