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Finding the Fourth Proportional to 21,484.38, 29,648.64 and 12,053.14

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Solution

The fourth proportional to 21,484.38, 29,648.64 and 12,053.14 is: 16,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,484.38 : 29,648.64 = 12,053.14 : x
  2. Step 2: Convert to fraction form
    21,484.38/29,648.64 = 12,053.14/x
  3. Step 3: Cross multiply
    21,484.38x = 29,648.64 × 12,053.14
  4. Step 4: Simplify right side
    21,484.38x = 357,359,208.73
  5. Step 5: Solve for x
    x = 357,359,208.73/21,484.38
  6. Step 6: Final answer
    x = 16,633.44

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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.