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Finding the Fourth Proportional to 17,047.86, 23,533.32 and 11,462.10

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Solution

The fourth proportional to 17,047.86, 23,533.32 and 11,462.10 is: 15,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.86 : 23,533.32 = 11,462.10 : x
  2. Step 2: Convert to fraction form
    17,047.86/23,533.32 = 11,462.10/x
  3. Step 3: Cross multiply
    17,047.86x = 23,533.32 × 11,462.10
  4. Step 4: Simplify right side
    17,047.86x = 269,741,267.17
  5. Step 5: Solve for x
    x = 269,741,267.17/17,047.86
  6. Step 6: Final answer
    x = 15,822.59

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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.