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Finding the Fourth Proportional to 16,415.44, 22,652.52 and 9,341.20

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Solution

The fourth proportional to 16,415.44, 22,652.52 and 9,341.20 is: 12,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.44 : 22,652.52 = 9,341.20 : x
  2. Step 2: Convert to fraction form
    16,415.44/22,652.52 = 9,341.20/x
  3. Step 3: Cross multiply
    16,415.44x = 22,652.52 × 9,341.20
  4. Step 4: Simplify right side
    16,415.44x = 211,601,719.82
  5. Step 5: Solve for x
    x = 211,601,719.82/16,415.44
  6. Step 6: Final answer
    x = 12,890.41

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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.