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Finding the Fourth Proportional to 25,512.79, 35,205 and 14,180.47

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Solution

The fourth proportional to 25,512.79, 35,205 and 14,180.47 is: 19,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,512.79 : 35,205 = 14,180.47 : x
  2. Step 2: Convert to fraction form
    25,512.79/35,205 = 14,180.47/x
  3. Step 3: Cross multiply
    25,512.79x = 35,205 × 14,180.47
  4. Step 4: Simplify right side
    25,512.79x = 499,223,446.35
  5. Step 5: Solve for x
    x = 499,223,446.35/25,512.79
  6. Step 6: Final answer
    x = 19,567.58

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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.