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Finding the Fourth Proportional to 21,011.25, 31,516.84 and 6,219

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Solution

The fourth proportional to 21,011.25, 31,516.84 and 6,219 is: 9,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.25 : 31,516.84 = 6,219 : x
  2. Step 2: Convert to fraction form
    21,011.25/31,516.84 = 6,219/x
  3. Step 3: Cross multiply
    21,011.25x = 31,516.84 × 6,219
  4. Step 4: Simplify right side
    21,011.25x = 196,003,227.96
  5. Step 5: Solve for x
    x = 196,003,227.96/21,011.25
  6. Step 6: Final answer
    x = 9,328.49

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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.