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Finding the Fourth Proportional to 21,513.75, 29,690.49 and 12,082.32

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Solution

The fourth proportional to 21,513.75, 29,690.49 and 12,082.32 is: 16,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.75 : 29,690.49 = 12,082.32 : x
  2. Step 2: Convert to fraction form
    21,513.75/29,690.49 = 12,082.32/x
  3. Step 3: Cross multiply
    21,513.75x = 29,690.49 × 12,082.32
  4. Step 4: Simplify right side
    21,513.75x = 358,730,001.14
  5. Step 5: Solve for x
    x = 358,730,001.14/21,513.75
  6. Step 6: Final answer
    x = 16,674.45

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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.