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Finding the Fourth Proportional to 16,887.71, 25,330.96 and 5,200.63

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Solution

The fourth proportional to 16,887.71, 25,330.96 and 5,200.63 is: 7,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887.71 : 25,330.96 = 5,200.63 : x
  2. Step 2: Convert to fraction form
    16,887.71/25,330.96 = 5,200.63/x
  3. Step 3: Cross multiply
    16,887.71x = 25,330.96 × 5,200.63
  4. Step 4: Simplify right side
    16,887.71x = 131,736,950.50
  5. Step 5: Solve for x
    x = 131,736,950.50/16,887.71
  6. Step 6: Final answer
    x = 7,800.76

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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.