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Finding the Fourth Proportional to 21,514.63, 32,267.08 and 8,182.87

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Solution

The fourth proportional to 21,514.63, 32,267.08 and 8,182.87 is: 12,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.63 : 32,267.08 = 8,182.87 : x
  2. Step 2: Convert to fraction form
    21,514.63/32,267.08 = 8,182.87/x
  3. Step 3: Cross multiply
    21,514.63x = 32,267.08 × 8,182.87
  4. Step 4: Simplify right side
    21,514.63x = 264,037,320.92
  5. Step 5: Solve for x
    x = 264,037,320.92/21,514.63
  6. Step 6: Final answer
    x = 12,272.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.