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Finding the Fourth Proportional to 12,955.80, 19,431.78 and 4,642.20

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Solution

The fourth proportional to 12,955.80, 19,431.78 and 4,642.20 is: 6,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.80 : 19,431.78 = 4,642.20 : x
  2. Step 2: Convert to fraction form
    12,955.80/19,431.78 = 4,642.20/x
  3. Step 3: Cross multiply
    12,955.80x = 19,431.78 × 4,642.20
  4. Step 4: Simplify right side
    12,955.80x = 90,206,209.12
  5. Step 5: Solve for x
    x = 90,206,209.12/12,955.80
  6. Step 6: Final answer
    x = 6,962.61

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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.