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Finding the Fourth Proportional to 16,803.68, 23,188.74 and 10,519.52

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Solution

The fourth proportional to 16,803.68, 23,188.74 and 10,519.52 is: 14,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.68 : 23,188.74 = 10,519.52 : x
  2. Step 2: Convert to fraction form
    16,803.68/23,188.74 = 10,519.52/x
  3. Step 3: Cross multiply
    16,803.68x = 23,188.74 × 10,519.52
  4. Step 4: Simplify right side
    16,803.68x = 243,934,414.20
  5. Step 5: Solve for x
    x = 243,934,414.20/16,803.68
  6. Step 6: Final answer
    x = 14,516.73

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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.