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Finding the Fourth Proportional to 22,082.48, 33,123.72 and 12,842

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Solution

The fourth proportional to 22,082.48, 33,123.72 and 12,842 is: 19,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.48 : 33,123.72 = 12,842 : x
  2. Step 2: Convert to fraction form
    22,082.48/33,123.72 = 12,842/x
  3. Step 3: Cross multiply
    22,082.48x = 33,123.72 × 12,842
  4. Step 4: Simplify right side
    22,082.48x = 425,374,812.24
  5. Step 5: Solve for x
    x = 425,374,812.24/22,082.48
  6. Step 6: Final answer
    x = 19,263

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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.