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Finding the Fourth Proportional to 21,392.83, 32,081.13 and 8,566.08

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Solution

The fourth proportional to 21,392.83, 32,081.13 and 8,566.08 is: 12,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.83 : 32,081.13 = 8,566.08 : x
  2. Step 2: Convert to fraction form
    21,392.83/32,081.13 = 8,566.08/x
  3. Step 3: Cross multiply
    21,392.83x = 32,081.13 × 8,566.08
  4. Step 4: Simplify right side
    21,392.83x = 274,809,526.07
  5. Step 5: Solve for x
    x = 274,809,526.07/21,392.83
  6. Step 6: Final answer
    x = 12,845.87

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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.