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Finding the Fourth Proportional to 25,584.75, 35,307 and 14,831.69

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Solution

The fourth proportional to 25,584.75, 35,307 and 14,831.69 is: 20,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.75 : 35,307 = 14,831.69 : x
  2. Step 2: Convert to fraction form
    25,584.75/35,307 = 14,831.69/x
  3. Step 3: Cross multiply
    25,584.75x = 35,307 × 14,831.69
  4. Step 4: Simplify right side
    25,584.75x = 523,662,302.30
  5. Step 5: Solve for x
    x = 523,662,302.30/25,584.75
  6. Step 6: Final answer
    x = 20,467.75

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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.