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Finding the Fourth Proportional to 21,710.39, 29,966.23 and 12,760.77

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Solution

The fourth proportional to 21,710.39, 29,966.23 and 12,760.77 is: 17,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.39 : 29,966.23 = 12,760.77 : x
  2. Step 2: Convert to fraction form
    21,710.39/29,966.23 = 12,760.77/x
  3. Step 3: Cross multiply
    21,710.39x = 29,966.23 × 12,760.77
  4. Step 4: Simplify right side
    21,710.39x = 382,392,168.80
  5. Step 5: Solve for x
    x = 382,392,168.80/21,710.39
  6. Step 6: Final answer
    x = 17,613.33

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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.