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Finding the Fourth Proportional to 22,453.67, 30,985.38 and 12,382.10

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Solution

The fourth proportional to 22,453.67, 30,985.38 and 12,382.10 is: 17,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,453.67 : 30,985.38 = 12,382.10 : x
  2. Step 2: Convert to fraction form
    22,453.67/30,985.38 = 12,382.10/x
  3. Step 3: Cross multiply
    22,453.67x = 30,985.38 × 12,382.10
  4. Step 4: Simplify right side
    22,453.67x = 383,663,918.77
  5. Step 5: Solve for x
    x = 383,663,918.77/22,453.67
  6. Step 6: Final answer
    x = 17,086.92

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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.