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Finding the Fourth Proportional to 17,378.16, 23,981.82 and 9,420.36

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Solution

The fourth proportional to 17,378.16, 23,981.82 and 9,420.36 is: 13,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.16 : 23,981.82 = 9,420.36 : x
  2. Step 2: Convert to fraction form
    17,378.16/23,981.82 = 9,420.36/x
  3. Step 3: Cross multiply
    17,378.16x = 23,981.82 × 9,420.36
  4. Step 4: Simplify right side
    17,378.16x = 225,917,377.86
  5. Step 5: Solve for x
    x = 225,917,377.86/17,378.16
  6. Step 6: Final answer
    x = 13,000.07

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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.