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Finding the Fourth Proportional to 19,719.46, 29,569.20 and 6,567.22

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Solution

The fourth proportional to 19,719.46, 29,569.20 and 6,567.22 is: 9,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.46 : 29,569.20 = 6,567.22 : x
  2. Step 2: Convert to fraction form
    19,719.46/29,569.20 = 6,567.22/x
  3. Step 3: Cross multiply
    19,719.46x = 29,569.20 × 6,567.22
  4. Step 4: Simplify right side
    19,719.46x = 194,187,441.62
  5. Step 5: Solve for x
    x = 194,187,441.62/19,719.46
  6. Step 6: Final answer
    x = 9,847.50

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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.