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Finding the Fourth Proportional to 21,513.96, 29,689.38 and 12,082.62

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Solution

The fourth proportional to 21,513.96, 29,689.38 and 12,082.62 is: 16,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.96 : 29,689.38 = 12,082.62 : x
  2. Step 2: Convert to fraction form
    21,513.96/29,689.38 = 12,082.62/x
  3. Step 3: Cross multiply
    21,513.96x = 29,689.38 × 12,082.62
  4. Step 4: Simplify right side
    21,513.96x = 358,725,496.58
  5. Step 5: Solve for x
    x = 358,725,496.58/21,513.96
  6. Step 6: Final answer
    x = 16,674.08

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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.