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Finding the Fourth Proportional to 13,283.64, 18,325.62 and 8,174.61

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Solution

The fourth proportional to 13,283.64, 18,325.62 and 8,174.61 is: 11,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.64 : 18,325.62 = 8,174.61 : x
  2. Step 2: Convert to fraction form
    13,283.64/18,325.62 = 8,174.61/x
  3. Step 3: Cross multiply
    13,283.64x = 18,325.62 × 8,174.61
  4. Step 4: Simplify right side
    13,283.64x = 149,804,796.51
  5. Step 5: Solve for x
    x = 149,804,796.51/13,283.64
  6. Step 6: Final answer
    x = 11,277.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.