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Finding the Fourth Proportional to 25,051.34, 37,578.63 and 8,410.70

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Solution

The fourth proportional to 25,051.34, 37,578.63 and 8,410.70 is: 12,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.34 : 37,578.63 = 8,410.70 : x
  2. Step 2: Convert to fraction form
    25,051.34/37,578.63 = 8,410.70/x
  3. Step 3: Cross multiply
    25,051.34x = 37,578.63 × 8,410.70
  4. Step 4: Simplify right side
    25,051.34x = 316,062,583.34
  5. Step 5: Solve for x
    x = 316,062,583.34/25,051.34
  6. Step 6: Final answer
    x = 12,616.59

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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.