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Finding the Fourth Proportional to 17,378.82, 23,981.64 and 9,721.86

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Solution

The fourth proportional to 17,378.82, 23,981.64 and 9,721.86 is: 13,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.82 : 23,981.64 = 9,721.86 : x
  2. Step 2: Convert to fraction form
    17,378.82/23,981.64 = 9,721.86/x
  3. Step 3: Cross multiply
    17,378.82x = 23,981.64 × 9,721.86
  4. Step 4: Simplify right side
    17,378.82x = 233,146,146.65
  5. Step 5: Solve for x
    x = 233,146,146.65/17,378.82
  6. Step 6: Final answer
    x = 13,415.53

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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.