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Finding the Fourth Proportional to 25,098.94, 37,652.01 and 13,405.78

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Solution

The fourth proportional to 25,098.94, 37,652.01 and 13,405.78 is: 20,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.94 : 37,652.01 = 13,405.78 : x
  2. Step 2: Convert to fraction form
    25,098.94/37,652.01 = 13,405.78/x
  3. Step 3: Cross multiply
    25,098.94x = 37,652.01 × 13,405.78
  4. Step 4: Simplify right side
    25,098.94x = 504,754,562.62
  5. Step 5: Solve for x
    x = 504,754,562.62/25,098.94
  6. Step 6: Final answer
    x = 20,110.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.