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Finding the Fourth Proportional to 17,718.75, 24,437.25 and 10,640.16

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Solution

The fourth proportional to 17,718.75, 24,437.25 and 10,640.16 is: 14,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.75 : 24,437.25 = 10,640.16 : x
  2. Step 2: Convert to fraction form
    17,718.75/24,437.25 = 10,640.16/x
  3. Step 3: Cross multiply
    17,718.75x = 24,437.25 × 10,640.16
  4. Step 4: Simplify right side
    17,718.75x = 260,016,249.96
  5. Step 5: Solve for x
    x = 260,016,249.96/17,718.75
  6. Step 6: Final answer
    x = 14,674.64

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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.