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Finding the Fourth Proportional to 17,980.86, 24,813.23 and 10,022.61

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Solution

The fourth proportional to 17,980.86, 24,813.23 and 10,022.61 is: 13,831.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.86 : 24,813.23 = 10,022.61 : x
  2. Step 2: Convert to fraction form
    17,980.86/24,813.23 = 10,022.61/x
  3. Step 3: Cross multiply
    17,980.86x = 24,813.23 × 10,022.61
  4. Step 4: Simplify right side
    17,980.86x = 248,693,277.02
  5. Step 5: Solve for x
    x = 248,693,277.02/17,980.86
  6. Step 6: Final answer
    x = 13,831.00

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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.