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Finding the Fourth Proportional to 16,405.89, 22,637.69 and 9,234.77

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Solution

The fourth proportional to 16,405.89, 22,637.69 and 9,234.77 is: 12,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.89 : 22,637.69 = 9,234.77 : x
  2. Step 2: Convert to fraction form
    16,405.89/22,637.69 = 9,234.77/x
  3. Step 3: Cross multiply
    16,405.89x = 22,637.69 × 9,234.77
  4. Step 4: Simplify right side
    16,405.89x = 209,053,701.12
  5. Step 5: Solve for x
    x = 209,053,701.12/16,405.89
  6. Step 6: Final answer
    x = 12,742.60

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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.