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Finding the Fourth Proportional to 17,982.88, 24,814.48 and 10,023.60

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Solution

The fourth proportional to 17,982.88, 24,814.48 and 10,023.60 is: 13,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982.88 : 24,814.48 = 10,023.60 : x
  2. Step 2: Convert to fraction form
    17,982.88/24,814.48 = 10,023.60/x
  3. Step 3: Cross multiply
    17,982.88x = 24,814.48 × 10,023.60
  4. Step 4: Simplify right side
    17,982.88x = 248,730,421.73
  5. Step 5: Solve for x
    x = 248,730,421.73/17,982.88
  6. Step 6: Final answer
    x = 13,831.51

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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.