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Finding the Fourth Proportional to 13,214.50, 18,235.92 and 7,246.07

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Solution

The fourth proportional to 13,214.50, 18,235.92 and 7,246.07 is: 9,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.50 : 18,235.92 = 7,246.07 : x
  2. Step 2: Convert to fraction form
    13,214.50/18,235.92 = 7,246.07/x
  3. Step 3: Cross multiply
    13,214.50x = 18,235.92 × 7,246.07
  4. Step 4: Simplify right side
    13,214.50x = 132,138,716.45
  5. Step 5: Solve for x
    x = 132,138,716.45/13,214.50
  6. Step 6: Final answer
    x = 9,999.52

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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.