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Finding the Fourth Proportional to 25,051.54, 37,580.77 and 8,416.33

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Solution

The fourth proportional to 25,051.54, 37,580.77 and 8,416.33 is: 12,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.54 : 37,580.77 = 8,416.33 : x
  2. Step 2: Convert to fraction form
    25,051.54/37,580.77 = 8,416.33/x
  3. Step 3: Cross multiply
    25,051.54x = 37,580.77 × 8,416.33
  4. Step 4: Simplify right side
    25,051.54x = 316,292,103.33
  5. Step 5: Solve for x
    x = 316,292,103.33/25,051.54
  6. Step 6: Final answer
    x = 12,625.66

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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.