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Finding the Fourth Proportional to 19,114.92, 28,688.16 and 9,761.84

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Solution

The fourth proportional to 19,114.92, 28,688.16 and 9,761.84 is: 14,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.92 : 28,688.16 = 9,761.84 : x
  2. Step 2: Convert to fraction form
    19,114.92/28,688.16 = 9,761.84/x
  3. Step 3: Cross multiply
    19,114.92x = 28,688.16 × 9,761.84
  4. Step 4: Simplify right side
    19,114.92x = 280,049,227.81
  5. Step 5: Solve for x
    x = 280,049,227.81/19,114.92
  6. Step 6: Final answer
    x = 14,650.82

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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.