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Finding the Fourth Proportional to 16,708.54, 23,056.34 and 9,538.42

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Solution

The fourth proportional to 16,708.54, 23,056.34 and 9,538.42 is: 13,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,708.54 : 23,056.34 = 9,538.42 : x
  2. Step 2: Convert to fraction form
    16,708.54/23,056.34 = 9,538.42/x
  3. Step 3: Cross multiply
    16,708.54x = 23,056.34 × 9,538.42
  4. Step 4: Simplify right side
    16,708.54x = 219,921,054.58
  5. Step 5: Solve for x
    x = 219,921,054.58/16,708.54
  6. Step 6: Final answer
    x = 13,162.19

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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.