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Finding the Fourth Proportional to 16,837.22, 23,233.78 and 9,762.88

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Solution

The fourth proportional to 16,837.22, 23,233.78 and 9,762.88 is: 13,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837.22 : 23,233.78 = 9,762.88 : x
  2. Step 2: Convert to fraction form
    16,837.22/23,233.78 = 9,762.88/x
  3. Step 3: Cross multiply
    16,837.22x = 23,233.78 × 9,762.88
  4. Step 4: Simplify right side
    16,837.22x = 226,828,441.10
  5. Step 5: Solve for x
    x = 226,828,441.10/16,837.22
  6. Step 6: Final answer
    x = 13,471.85

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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.