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Finding the Fourth Proportional to 12,468.63, 17,208.30 and 7,164.48

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Solution

The fourth proportional to 12,468.63, 17,208.30 and 7,164.48 is: 9,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.63 : 17,208.30 = 7,164.48 : x
  2. Step 2: Convert to fraction form
    12,468.63/17,208.30 = 7,164.48/x
  3. Step 3: Cross multiply
    12,468.63x = 17,208.30 × 7,164.48
  4. Step 4: Simplify right side
    12,468.63x = 123,288,521.18
  5. Step 5: Solve for x
    x = 123,288,521.18/12,468.63
  6. Step 6: Final answer
    x = 9,887.90

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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.