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Finding the Fourth Proportional to 21,486.11, 29,654.39 and 12,533.61

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Solution

The fourth proportional to 21,486.11, 29,654.39 and 12,533.61 is: 17,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.11 : 29,654.39 = 12,533.61 : x
  2. Step 2: Convert to fraction form
    21,486.11/29,654.39 = 12,533.61/x
  3. Step 3: Cross multiply
    21,486.11x = 29,654.39 × 12,533.61
  4. Step 4: Simplify right side
    21,486.11x = 371,676,496.38
  5. Step 5: Solve for x
    x = 371,676,496.38/21,486.11
  6. Step 6: Final answer
    x = 17,298.46

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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.