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Finding the Fourth Proportional to 13,609.31, 18,782.87 and 8,307.20

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Solution

The fourth proportional to 13,609.31, 18,782.87 and 8,307.20 is: 11,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.31 : 18,782.87 = 8,307.20 : x
  2. Step 2: Convert to fraction form
    13,609.31/18,782.87 = 8,307.20/x
  3. Step 3: Cross multiply
    13,609.31x = 18,782.87 × 8,307.20
  4. Step 4: Simplify right side
    13,609.31x = 156,032,922.21
  5. Step 5: Solve for x
    x = 156,032,922.21/13,609.31
  6. Step 6: Final answer
    x = 11,465.16

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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.