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Finding the Fourth Proportional to 12,276.60, 18,400.22 and 7,071.72

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Solution

The fourth proportional to 12,276.60, 18,400.22 and 7,071.72 is: 10,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.60 : 18,400.22 = 7,071.72 : x
  2. Step 2: Convert to fraction form
    12,276.60/18,400.22 = 7,071.72/x
  3. Step 3: Cross multiply
    12,276.60x = 18,400.22 × 7,071.72
  4. Step 4: Simplify right side
    12,276.60x = 130,121,203.78
  5. Step 5: Solve for x
    x = 130,121,203.78/12,276.60
  6. Step 6: Final answer
    x = 10,599.12

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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.