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Finding the Fourth Proportional to 12,468.20, 17,206.68 and 7,164.68

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Solution

The fourth proportional to 12,468.20, 17,206.68 and 7,164.68 is: 9,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.20 : 17,206.68 = 7,164.68 : x
  2. Step 2: Convert to fraction form
    12,468.20/17,206.68 = 7,164.68/x
  3. Step 3: Cross multiply
    12,468.20x = 17,206.68 × 7,164.68
  4. Step 4: Simplify right side
    12,468.20x = 123,280,356.06
  5. Step 5: Solve for x
    x = 123,280,356.06/12,468.20
  6. Step 6: Final answer
    x = 9,887.58

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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.