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Finding the Fourth Proportional to 13,282.68, 18,342.54 and 8,323.32

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Solution

The fourth proportional to 13,282.68, 18,342.54 and 8,323.32 is: 11,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.68 : 18,342.54 = 8,323.32 : x
  2. Step 2: Convert to fraction form
    13,282.68/18,342.54 = 8,323.32/x
  3. Step 3: Cross multiply
    13,282.68x = 18,342.54 × 8,323.32
  4. Step 4: Simplify right side
    13,282.68x = 152,670,830.03
  5. Step 5: Solve for x
    x = 152,670,830.03/13,282.68
  6. Step 6: Final answer
    x = 11,493.98

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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.