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Finding the Fourth Proportional to 16,405.54, 22,635.74 and 9,335.86

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Solution

The fourth proportional to 16,405.54, 22,635.74 and 9,335.86 is: 12,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.54 : 22,635.74 = 9,335.86 : x
  2. Step 2: Convert to fraction form
    16,405.54/22,635.74 = 9,335.86/x
  3. Step 3: Cross multiply
    16,405.54x = 22,635.74 × 9,335.86
  4. Step 4: Simplify right side
    16,405.54x = 211,324,066.39
  5. Step 5: Solve for x
    x = 211,324,066.39/16,405.54
  6. Step 6: Final answer
    x = 12,881.26

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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.