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Finding the Fourth Proportional to 13,205.63, 18,229.59 and 9,242.30

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Solution

The fourth proportional to 13,205.63, 18,229.59 and 9,242.30 is: 12,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.63 : 18,229.59 = 9,242.30 : x
  2. Step 2: Convert to fraction form
    13,205.63/18,229.59 = 9,242.30/x
  3. Step 3: Cross multiply
    13,205.63x = 18,229.59 × 9,242.30
  4. Step 4: Simplify right side
    13,205.63x = 168,483,385.23
  5. Step 5: Solve for x
    x = 168,483,385.23/13,205.63
  6. Step 6: Final answer
    x = 12,758.45

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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.