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Finding the Fourth Proportional to 12,803.28, 17,668.68 and 7,214.28

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Solution

The fourth proportional to 12,803.28, 17,668.68 and 7,214.28 is: 9,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.28 : 17,668.68 = 7,214.28 : x
  2. Step 2: Convert to fraction form
    12,803.28/17,668.68 = 7,214.28/x
  3. Step 3: Cross multiply
    12,803.28x = 17,668.68 × 7,214.28
  4. Step 4: Simplify right side
    12,803.28x = 127,466,804.75
  5. Step 5: Solve for x
    x = 127,466,804.75/12,803.28
  6. Step 6: Final answer
    x = 9,955.79

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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.