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Finding the Fourth Proportional to 12,922.80, 19,384.32 and 3,562.98

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Solution

The fourth proportional to 12,922.80, 19,384.32 and 3,562.98 is: 5,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.80 : 19,384.32 = 3,562.98 : x
  2. Step 2: Convert to fraction form
    12,922.80/19,384.32 = 3,562.98/x
  3. Step 3: Cross multiply
    12,922.80x = 19,384.32 × 3,562.98
  4. Step 4: Simplify right side
    12,922.80x = 69,065,944.47
  5. Step 5: Solve for x
    x = 69,065,944.47/12,922.80
  6. Step 6: Final answer
    x = 5,344.50

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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.