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Finding the Fourth Proportional to 17,111.32, 23,613.36 and 9,557.77

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Solution

The fourth proportional to 17,111.32, 23,613.36 and 9,557.77 is: 13,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.32 : 23,613.36 = 9,557.77 : x
  2. Step 2: Convert to fraction form
    17,111.32/23,613.36 = 9,557.77/x
  3. Step 3: Cross multiply
    17,111.32x = 23,613.36 × 9,557.77
  4. Step 4: Simplify right side
    17,111.32x = 225,691,063.81
  5. Step 5: Solve for x
    x = 225,691,063.81/17,111.32
  6. Step 6: Final answer
    x = 13,189.58

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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.