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Finding the Fourth Proportional to 11,597.21, 17,366.37 and 9,718.16

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Solution

The fourth proportional to 11,597.21, 17,366.37 and 9,718.16 is: 14,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.21 : 17,366.37 = 9,718.16 : x
  2. Step 2: Convert to fraction form
    11,597.21/17,366.37 = 9,718.16/x
  3. Step 3: Cross multiply
    11,597.21x = 17,366.37 × 9,718.16
  4. Step 4: Simplify right side
    11,597.21x = 168,769,177.01
  5. Step 5: Solve for x
    x = 168,769,177.01/11,597.21
  6. Step 6: Final answer
    x = 14,552.57

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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.