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Finding the Fourth Proportional to 22,153.98, 30,572.10 and 12,082.50

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Solution

The fourth proportional to 22,153.98, 30,572.10 and 12,082.50 is: 16,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.98 : 30,572.10 = 12,082.50 : x
  2. Step 2: Convert to fraction form
    22,153.98/30,572.10 = 12,082.50/x
  3. Step 3: Cross multiply
    22,153.98x = 30,572.10 × 12,082.50
  4. Step 4: Simplify right side
    22,153.98x = 369,387,398.25
  5. Step 5: Solve for x
    x = 369,387,398.25/22,153.98
  6. Step 6: Final answer
    x = 16,673.64

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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.