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Finding the Fourth Proportional to 21,011.68, 31,484.68 and 13,204.09

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Solution

The fourth proportional to 21,011.68, 31,484.68 and 13,204.09 is: 19,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.68 : 31,484.68 = 13,204.09 : x
  2. Step 2: Convert to fraction form
    21,011.68/31,484.68 = 13,204.09/x
  3. Step 3: Cross multiply
    21,011.68x = 31,484.68 × 13,204.09
  4. Step 4: Simplify right side
    21,011.68x = 415,726,548.34
  5. Step 5: Solve for x
    x = 415,726,548.34/21,011.68
  6. Step 6: Final answer
    x = 19,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.