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Finding the Fourth Proportional to 25,469.47, 35,147.20 and 14,138.63

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Solution

The fourth proportional to 25,469.47, 35,147.20 and 14,138.63 is: 19,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.47 : 35,147.20 = 14,138.63 : x
  2. Step 2: Convert to fraction form
    25,469.47/35,147.20 = 14,138.63/x
  3. Step 3: Cross multiply
    25,469.47x = 35,147.20 × 14,138.63
  4. Step 4: Simplify right side
    25,469.47x = 496,933,256.34
  5. Step 5: Solve for x
    x = 496,933,256.34/25,469.47
  6. Step 6: Final answer
    x = 19,510.94

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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.