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Finding the Fourth Proportional to 11,803.24, 17,656.22 and 9,699.56

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Solution

The fourth proportional to 11,803.24, 17,656.22 and 9,699.56 is: 14,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.24 : 17,656.22 = 9,699.56 : x
  2. Step 2: Convert to fraction form
    11,803.24/17,656.22 = 9,699.56/x
  3. Step 3: Cross multiply
    11,803.24x = 17,656.22 × 9,699.56
  4. Step 4: Simplify right side
    11,803.24x = 171,257,565.26
  5. Step 5: Solve for x
    x = 171,257,565.26/11,803.24
  6. Step 6: Final answer
    x = 14,509.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.