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Finding the Fourth Proportional to 17,111.86, 23,614.12 and 9,558.32

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Solution

The fourth proportional to 17,111.86, 23,614.12 and 9,558.32 is: 13,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.86 : 23,614.12 = 9,558.32 : x
  2. Step 2: Convert to fraction form
    17,111.86/23,614.12 = 9,558.32/x
  3. Step 3: Cross multiply
    17,111.86x = 23,614.12 × 9,558.32
  4. Step 4: Simplify right side
    17,111.86x = 225,711,315.48
  5. Step 5: Solve for x
    x = 225,711,315.48/17,111.86
  6. Step 6: Final answer
    x = 13,190.34

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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.