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Finding the Fourth Proportional to 12,953.94, 19,432.73 and 6,380.18

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Solution

The fourth proportional to 12,953.94, 19,432.73 and 6,380.18 is: 9,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.94 : 19,432.73 = 6,380.18 : x
  2. Step 2: Convert to fraction form
    12,953.94/19,432.73 = 6,380.18/x
  3. Step 3: Cross multiply
    12,953.94x = 19,432.73 × 6,380.18
  4. Step 4: Simplify right side
    12,953.94x = 123,984,315.29
  5. Step 5: Solve for x
    x = 123,984,315.29/12,953.94
  6. Step 6: Final answer
    x = 9,571.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.