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Finding the Fourth Proportional to 13,252.35, 18,282.07 and 8,214.73

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Solution

The fourth proportional to 13,252.35, 18,282.07 and 8,214.73 is: 11,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.35 : 18,282.07 = 8,214.73 : x
  2. Step 2: Convert to fraction form
    13,252.35/18,282.07 = 8,214.73/x
  3. Step 3: Cross multiply
    13,252.35x = 18,282.07 × 8,214.73
  4. Step 4: Simplify right side
    13,252.35x = 150,182,224.51
  5. Step 5: Solve for x
    x = 150,182,224.51/13,252.35
  6. Step 6: Final answer
    x = 11,332.50

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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.