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Finding the Fourth Proportional to 13,323.44, 18,384.25 and 7,657.09

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Solution

The fourth proportional to 13,323.44, 18,384.25 and 7,657.09 is: 10,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.44 : 18,384.25 = 7,657.09 : x
  2. Step 2: Convert to fraction form
    13,323.44/18,384.25 = 7,657.09/x
  3. Step 3: Cross multiply
    13,323.44x = 18,384.25 × 7,657.09
  4. Step 4: Simplify right side
    13,323.44x = 140,769,856.83
  5. Step 5: Solve for x
    x = 140,769,856.83/13,323.44
  6. Step 6: Final answer
    x = 10,565.58

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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.