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Finding the Fourth Proportional to 22,154.07, 30,572.49 and 12,082.32

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Solution

The fourth proportional to 22,154.07, 30,572.49 and 12,082.32 is: 16,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.07 : 30,572.49 = 12,082.32 : x
  2. Step 2: Convert to fraction form
    22,154.07/30,572.49 = 12,082.32/x
  3. Step 3: Cross multiply
    22,154.07x = 30,572.49 × 12,082.32
  4. Step 4: Simplify right side
    22,154.07x = 369,386,607.38
  5. Step 5: Solve for x
    x = 369,386,607.38/22,154.07
  6. Step 6: Final answer
    x = 16,673.53

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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.