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Finding the Fourth Proportional to 21,364.08, 32,031 and 8,205.36

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Solution

The fourth proportional to 21,364.08, 32,031 and 8,205.36 is: 12,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.08 : 32,031 = 8,205.36 : x
  2. Step 2: Convert to fraction form
    21,364.08/32,031 = 8,205.36/x
  3. Step 3: Cross multiply
    21,364.08x = 32,031 × 8,205.36
  4. Step 4: Simplify right side
    21,364.08x = 262,825,886.16
  5. Step 5: Solve for x
    x = 262,825,886.16/21,364.08
  6. Step 6: Final answer
    x = 12,302.23

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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.