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Finding the Fourth Proportional to 22,154, 30,572.10 and 12,082.52

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Solution

The fourth proportional to 22,154, 30,572.10 and 12,082.52 is: 16,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154 : 30,572.10 = 12,082.52 : x
  2. Step 2: Convert to fraction form
    22,154/30,572.10 = 12,082.52/x
  3. Step 3: Cross multiply
    22,154x = 30,572.10 × 12,082.52
  4. Step 4: Simplify right side
    22,154x = 369,388,009.69
  5. Step 5: Solve for x
    x = 369,388,009.69/22,154
  6. Step 6: Final answer
    x = 16,673.65

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