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Finding the Fourth Proportional to 21,862.35, 32,795.91 and 8,011.35

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Solution

The fourth proportional to 21,862.35, 32,795.91 and 8,011.35 is: 12,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.35 : 32,795.91 = 8,011.35 : x
  2. Step 2: Convert to fraction form
    21,862.35/32,795.91 = 8,011.35/x
  3. Step 3: Cross multiply
    21,862.35x = 32,795.91 × 8,011.35
  4. Step 4: Simplify right side
    21,862.35x = 262,739,513.58
  5. Step 5: Solve for x
    x = 262,739,513.58/21,862.35
  6. Step 6: Final answer
    x = 12,017.90

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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.