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Finding the Fourth Proportional to 19,711.76, 29,569.05 and 6,201.77

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Solution

The fourth proportional to 19,711.76, 29,569.05 and 6,201.77 is: 9,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.76 : 29,569.05 = 6,201.77 : x
  2. Step 2: Convert to fraction form
    19,711.76/29,569.05 = 6,201.77/x
  3. Step 3: Cross multiply
    19,711.76x = 29,569.05 × 6,201.77
  4. Step 4: Simplify right side
    19,711.76x = 183,380,299.37
  5. Step 5: Solve for x
    x = 183,380,299.37/19,711.76
  6. Step 6: Final answer
    x = 9,303.09

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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.