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Finding the Fourth Proportional to 13,209.22, 18,214.08 and 8,421.58

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Solution

The fourth proportional to 13,209.22, 18,214.08 and 8,421.58 is: 11,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.22 : 18,214.08 = 8,421.58 : x
  2. Step 2: Convert to fraction form
    13,209.22/18,214.08 = 8,421.58/x
  3. Step 3: Cross multiply
    13,209.22x = 18,214.08 × 8,421.58
  4. Step 4: Simplify right side
    13,209.22x = 153,391,240.78
  5. Step 5: Solve for x
    x = 153,391,240.78/13,209.22
  6. Step 6: Final answer
    x = 11,612.44

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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.