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Finding the Fourth Proportional to 14,712.25, 20,303.85 and 8,252.49

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Solution

The fourth proportional to 14,712.25, 20,303.85 and 8,252.49 is: 11,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.25 : 20,303.85 = 8,252.49 : x
  2. Step 2: Convert to fraction form
    14,712.25/20,303.85 = 8,252.49/x
  3. Step 3: Cross multiply
    14,712.25x = 20,303.85 × 8,252.49
  4. Step 4: Simplify right side
    14,712.25x = 167,557,319.09
  5. Step 5: Solve for x
    x = 167,557,319.09/14,712.25
  6. Step 6: Final answer
    x = 11,388.97

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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.