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Finding the Fourth Proportional to 13,308.04, 18,366.24 and 8,002

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Solution

The fourth proportional to 13,308.04, 18,366.24 and 8,002 is: 11,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.04 : 18,366.24 = 8,002 : x
  2. Step 2: Convert to fraction form
    13,308.04/18,366.24 = 8,002/x
  3. Step 3: Cross multiply
    13,308.04x = 18,366.24 × 8,002
  4. Step 4: Simplify right side
    13,308.04x = 146,966,652.48
  5. Step 5: Solve for x
    x = 146,966,652.48/13,308.04
  6. Step 6: Final answer
    x = 11,043.45

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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.