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Finding the Fourth Proportional to 25,145.68, 37,719 and 7,615.44

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Solution

The fourth proportional to 25,145.68, 37,719 and 7,615.44 is: 11,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.68 : 37,719 = 7,615.44 : x
  2. Step 2: Convert to fraction form
    25,145.68/37,719 = 7,615.44/x
  3. Step 3: Cross multiply
    25,145.68x = 37,719 × 7,615.44
  4. Step 4: Simplify right side
    25,145.68x = 287,246,781.36
  5. Step 5: Solve for x
    x = 287,246,781.36/25,145.68
  6. Step 6: Final answer
    x = 11,423.31

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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.