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Finding the Fourth Proportional to 30,831.26, 42,546.87 and 16,684.07

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Solution

The fourth proportional to 30,831.26, 42,546.87 and 16,684.07 is: 23,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.26 : 42,546.87 = 16,684.07 : x
  2. Step 2: Convert to fraction form
    30,831.26/42,546.87 = 16,684.07/x
  3. Step 3: Cross multiply
    30,831.26x = 42,546.87 × 16,684.07
  4. Step 4: Simplify right side
    30,831.26x = 709,854,744.63
  5. Step 5: Solve for x
    x = 709,854,744.63/30,831.26
  6. Step 6: Final answer
    x = 23,023.87

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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.