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Finding the Fourth Proportional to 14,601.76, 20,150.22 and 8,314

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Solution

The fourth proportional to 14,601.76, 20,150.22 and 8,314 is: 11,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.76 : 20,150.22 = 8,314 : x
  2. Step 2: Convert to fraction form
    14,601.76/20,150.22 = 8,314/x
  3. Step 3: Cross multiply
    14,601.76x = 20,150.22 × 8,314
  4. Step 4: Simplify right side
    14,601.76x = 167,528,929.08
  5. Step 5: Solve for x
    x = 167,528,929.08/14,601.76
  6. Step 6: Final answer
    x = 11,473.20

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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.