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Finding the Fourth Proportional to 12,784.50, 17,642.88 and 7,195.50

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Solution

The fourth proportional to 12,784.50, 17,642.88 and 7,195.50 is: 9,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.50 : 17,642.88 = 7,195.50 : x
  2. Step 2: Convert to fraction form
    12,784.50/17,642.88 = 7,195.50/x
  3. Step 3: Cross multiply
    12,784.50x = 17,642.88 × 7,195.50
  4. Step 4: Simplify right side
    12,784.50x = 126,949,343.04
  5. Step 5: Solve for x
    x = 126,949,343.04/12,784.50
  6. Step 6: Final answer
    x = 9,929.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.