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Finding the Fourth Proportional to 12,122.64, 18,184.36 and 3,357.64

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Solution

The fourth proportional to 12,122.64, 18,184.36 and 3,357.64 is: 5,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.64 : 18,184.36 = 3,357.64 : x
  2. Step 2: Convert to fraction form
    12,122.64/18,184.36 = 3,357.64/x
  3. Step 3: Cross multiply
    12,122.64x = 18,184.36 × 3,357.64
  4. Step 4: Simplify right side
    12,122.64x = 61,056,534.51
  5. Step 5: Solve for x
    x = 61,056,534.51/12,122.64
  6. Step 6: Final answer
    x = 5,036.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.