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Finding the Fourth Proportional to 13,254.42, 18,297.36 and 8,411.58

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Solution

The fourth proportional to 13,254.42, 18,297.36 and 8,411.58 is: 11,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.42 : 18,297.36 = 8,411.58 : x
  2. Step 2: Convert to fraction form
    13,254.42/18,297.36 = 8,411.58/x
  3. Step 3: Cross multiply
    13,254.42x = 18,297.36 × 8,411.58
  4. Step 4: Simplify right side
    13,254.42x = 153,909,707.43
  5. Step 5: Solve for x
    x = 153,909,707.43/13,254.42
  6. Step 6: Final answer
    x = 11,611.95

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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.