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Finding the Fourth Proportional to 25,111.86, 37,673.64 and 8,471.58

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Solution

The fourth proportional to 25,111.86, 37,673.64 and 8,471.58 is: 12,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,111.86 : 37,673.64 = 8,471.58 : x
  2. Step 2: Convert to fraction form
    25,111.86/37,673.64 = 8,471.58/x
  3. Step 3: Cross multiply
    25,111.86x = 37,673.64 × 8,471.58
  4. Step 4: Simplify right side
    25,111.86x = 319,155,255.15
  5. Step 5: Solve for x
    x = 319,155,255.15/25,111.86
  6. Step 6: Final answer
    x = 12,709.34

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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.