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Finding the Fourth Proportional to 21,011.37, 31,484.21 and 13,203.78

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Solution

The fourth proportional to 21,011.37, 31,484.21 and 13,203.78 is: 19,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.37 : 31,484.21 = 13,203.78 : x
  2. Step 2: Convert to fraction form
    21,011.37/31,484.21 = 13,203.78/x
  3. Step 3: Cross multiply
    21,011.37x = 31,484.21 × 13,203.78
  4. Step 4: Simplify right side
    21,011.37x = 415,710,472.50
  5. Step 5: Solve for x
    x = 415,710,472.50/21,011.37
  6. Step 6: Final answer
    x = 19,785.03

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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.