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Finding the Fourth Proportional to 12,931.80, 19,370.02 and 7,382.20

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Solution

The fourth proportional to 12,931.80, 19,370.02 and 7,382.20 is: 11,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.80 : 19,370.02 = 7,382.20 : x
  2. Step 2: Convert to fraction form
    12,931.80/19,370.02 = 7,382.20/x
  3. Step 3: Cross multiply
    12,931.80x = 19,370.02 × 7,382.20
  4. Step 4: Simplify right side
    12,931.80x = 142,993,361.64
  5. Step 5: Solve for x
    x = 142,993,361.64/12,931.80
  6. Step 6: Final answer
    x = 11,057.50

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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.