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Finding the Fourth Proportional to 19,831.25, 29,734.90 and 9,303.57

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Solution

The fourth proportional to 19,831.25, 29,734.90 and 9,303.57 is: 13,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.25 : 29,734.90 = 9,303.57 : x
  2. Step 2: Convert to fraction form
    19,831.25/29,734.90 = 9,303.57/x
  3. Step 3: Cross multiply
    19,831.25x = 29,734.90 × 9,303.57
  4. Step 4: Simplify right side
    19,831.25x = 276,640,811.84
  5. Step 5: Solve for x
    x = 276,640,811.84/19,831.25
  6. Step 6: Final answer
    x = 13,949.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.