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Finding the Fourth Proportional to 13,218.51, 18,236.53 and 8,438.64

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Solution

The fourth proportional to 13,218.51, 18,236.53 and 8,438.64 is: 11,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.51 : 18,236.53 = 8,438.64 : x
  2. Step 2: Convert to fraction form
    13,218.51/18,236.53 = 8,438.64/x
  3. Step 3: Cross multiply
    13,218.51x = 18,236.53 × 8,438.64
  4. Step 4: Simplify right side
    13,218.51x = 153,891,511.52
  5. Step 5: Solve for x
    x = 153,891,511.52/13,218.51
  6. Step 6: Final answer
    x = 11,642.12

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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.