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Finding the Fourth Proportional to 16,367.58, 22,583.34 and 9,652.68

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Solution

The fourth proportional to 16,367.58, 22,583.34 and 9,652.68 is: 13,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.58 : 22,583.34 = 9,652.68 : x
  2. Step 2: Convert to fraction form
    16,367.58/22,583.34 = 9,652.68/x
  3. Step 3: Cross multiply
    16,367.58x = 22,583.34 × 9,652.68
  4. Step 4: Simplify right side
    16,367.58x = 217,989,754.35
  5. Step 5: Solve for x
    x = 217,989,754.35/16,367.58
  6. Step 6: Final answer
    x = 13,318.39

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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.