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Finding the Fourth Proportional to 25,413, 35,069.94 and 14,235.24

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Solution

The fourth proportional to 25,413, 35,069.94 and 14,235.24 is: 19,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,413 : 35,069.94 = 14,235.24 : x
  2. Step 2: Convert to fraction form
    25,413/35,069.94 = 14,235.24/x
  3. Step 3: Cross multiply
    25,413x = 35,069.94 × 14,235.24
  4. Step 4: Simplify right side
    25,413x = 499,229,012.69
  5. Step 5: Solve for x
    x = 499,229,012.69/25,413
  6. Step 6: Final answer
    x = 19,644.63

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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.