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Finding the Fourth Proportional to 21,364.32, 32,031.09 and 8,035.26

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Solution

The fourth proportional to 21,364.32, 32,031.09 and 8,035.26 is: 12,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.32 : 32,031.09 = 8,035.26 : x
  2. Step 2: Convert to fraction form
    21,364.32/32,031.09 = 8,035.26/x
  3. Step 3: Cross multiply
    21,364.32x = 32,031.09 × 8,035.26
  4. Step 4: Simplify right side
    21,364.32x = 257,378,136.23
  5. Step 5: Solve for x
    x = 257,378,136.23/21,364.32
  6. Step 6: Final answer
    x = 12,047.10

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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.