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Finding the Fourth Proportional to 15,770.32, 21,762.78 and 8,697.22

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Solution

The fourth proportional to 15,770.32, 21,762.78 and 8,697.22 is: 12,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.32 : 21,762.78 = 8,697.22 : x
  2. Step 2: Convert to fraction form
    15,770.32/21,762.78 = 8,697.22/x
  3. Step 3: Cross multiply
    15,770.32x = 21,762.78 × 8,697.22
  4. Step 4: Simplify right side
    15,770.32x = 189,275,685.47
  5. Step 5: Solve for x
    x = 189,275,685.47/15,770.32
  6. Step 6: Final answer
    x = 12,002.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.