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Finding the Fourth Proportional to 25,257.36, 37,885.98 and 7,727.16

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Solution

The fourth proportional to 25,257.36, 37,885.98 and 7,727.16 is: 11,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.36 : 37,885.98 = 7,727.16 : x
  2. Step 2: Convert to fraction form
    25,257.36/37,885.98 = 7,727.16/x
  3. Step 3: Cross multiply
    25,257.36x = 37,885.98 × 7,727.16
  4. Step 4: Simplify right side
    25,257.36x = 292,751,029.22
  5. Step 5: Solve for x
    x = 292,751,029.22/25,257.36
  6. Step 6: Final answer
    x = 11,590.72

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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.