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Finding the Fourth Proportional to 19,684.50, 29,535.45 and 10,322.28

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Solution

The fourth proportional to 19,684.50, 29,535.45 and 10,322.28 is: 15,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.50 : 29,535.45 = 10,322.28 : x
  2. Step 2: Convert to fraction form
    19,684.50/29,535.45 = 10,322.28/x
  3. Step 3: Cross multiply
    19,684.50x = 29,535.45 × 10,322.28
  4. Step 4: Simplify right side
    19,684.50x = 304,873,184.83
  5. Step 5: Solve for x
    x = 304,873,184.83/19,684.50
  6. Step 6: Final answer
    x = 15,487.98

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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.