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Finding the Fourth Proportional to 17,680.81, 24,396.36 and 10,024.12

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Solution

The fourth proportional to 17,680.81, 24,396.36 and 10,024.12 is: 13,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.81 : 24,396.36 = 10,024.12 : x
  2. Step 2: Convert to fraction form
    17,680.81/24,396.36 = 10,024.12/x
  3. Step 3: Cross multiply
    17,680.81x = 24,396.36 × 10,024.12
  4. Step 4: Simplify right side
    17,680.81x = 244,552,040.20
  5. Step 5: Solve for x
    x = 244,552,040.20/17,680.81
  6. Step 6: Final answer
    x = 13,831.50

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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.