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Finding the Fourth Proportional to 25,456, 35,129.76 and 14,278.72

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Solution

The fourth proportional to 25,456, 35,129.76 and 14,278.72 is: 19,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456 : 35,129.76 = 14,278.72 : x
  2. Step 2: Convert to fraction form
    25,456/35,129.76 = 14,278.72/x
  3. Step 3: Cross multiply
    25,456x = 35,129.76 × 14,278.72
  4. Step 4: Simplify right side
    25,456x = 501,608,006.71
  5. Step 5: Solve for x
    x = 501,608,006.71/25,456
  6. Step 6: Final answer
    x = 19,704.90

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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.