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Finding the Fourth Proportional to 22,082, 30,473.54 and 12,010.66

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Solution

The fourth proportional to 22,082, 30,473.54 and 12,010.66 is: 16,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082 : 30,473.54 = 12,010.66 : x
  2. Step 2: Convert to fraction form
    22,082/30,473.54 = 12,010.66/x
  3. Step 3: Cross multiply
    22,082x = 30,473.54 × 12,010.66
  4. Step 4: Simplify right side
    22,082x = 366,007,327.94
  5. Step 5: Solve for x
    x = 366,007,327.94/22,082
  6. Step 6: Final answer
    x = 16,574.92

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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.