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Finding the Fourth Proportional to 12,237.64, 16,887.38 and 6,933.24

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Solution

The fourth proportional to 12,237.64, 16,887.38 and 6,933.24 is: 9,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.64 : 16,887.38 = 6,933.24 : x
  2. Step 2: Convert to fraction form
    12,237.64/16,887.38 = 6,933.24/x
  3. Step 3: Cross multiply
    12,237.64x = 16,887.38 × 6,933.24
  4. Step 4: Simplify right side
    12,237.64x = 117,084,258.51
  5. Step 5: Solve for x
    x = 117,084,258.51/12,237.64
  6. Step 6: Final answer
    x = 9,567.55

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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.