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Finding the Fourth Proportional to 21,513.69, 29,690.21 and 12,082.25

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Solution

The fourth proportional to 21,513.69, 29,690.21 and 12,082.25 is: 16,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.69 : 29,690.21 = 12,082.25 : x
  2. Step 2: Convert to fraction form
    21,513.69/29,690.21 = 12,082.25/x
  3. Step 3: Cross multiply
    21,513.69x = 29,690.21 × 12,082.25
  4. Step 4: Simplify right side
    21,513.69x = 358,724,539.77
  5. Step 5: Solve for x
    x = 358,724,539.77/21,513.69
  6. Step 6: Final answer
    x = 16,674.25

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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.