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Finding the Fourth Proportional to 13,133.52, 18,122.64 and 7,468.24

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Solution

The fourth proportional to 13,133.52, 18,122.64 and 7,468.24 is: 10,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.52 : 18,122.64 = 7,468.24 : x
  2. Step 2: Convert to fraction form
    13,133.52/18,122.64 = 7,468.24/x
  3. Step 3: Cross multiply
    13,133.52x = 18,122.64 × 7,468.24
  4. Step 4: Simplify right side
    13,133.52x = 135,344,224.95
  5. Step 5: Solve for x
    x = 135,344,224.95/13,133.52
  6. Step 6: Final answer
    x = 10,305.25

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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.