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Finding the Fourth Proportional to 19,887.56, 29,812.76 and 6,730.76

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Solution

The fourth proportional to 19,887.56, 29,812.76 and 6,730.76 is: 10,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.56 : 29,812.76 = 6,730.76 : x
  2. Step 2: Convert to fraction form
    19,887.56/29,812.76 = 6,730.76/x
  3. Step 3: Cross multiply
    19,887.56x = 29,812.76 × 6,730.76
  4. Step 4: Simplify right side
    19,887.56x = 200,662,532.50
  5. Step 5: Solve for x
    x = 200,662,532.50/19,887.56
  6. Step 6: Final answer
    x = 10,089.85

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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.