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Finding the Fourth Proportional to 19,989.96, 29,989.05 and 7,509.97

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Solution

The fourth proportional to 19,989.96, 29,989.05 and 7,509.97 is: 11,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.96 : 29,989.05 = 7,509.97 : x
  2. Step 2: Convert to fraction form
    19,989.96/29,989.05 = 7,509.97/x
  3. Step 3: Cross multiply
    19,989.96x = 29,989.05 × 7,509.97
  4. Step 4: Simplify right side
    19,989.96x = 225,216,865.83
  5. Step 5: Solve for x
    x = 225,216,865.83/19,989.96
  6. Step 6: Final answer
    x = 11,266.50

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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.