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Finding the Fourth Proportional to 25,042.86, 37,571.34 and 12,547.80

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Solution

The fourth proportional to 25,042.86, 37,571.34 and 12,547.80 is: 18,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042.86 : 37,571.34 = 12,547.80 : x
  2. Step 2: Convert to fraction form
    25,042.86/37,571.34 = 12,547.80/x
  3. Step 3: Cross multiply
    25,042.86x = 37,571.34 × 12,547.80
  4. Step 4: Simplify right side
    25,042.86x = 471,437,660.05
  5. Step 5: Solve for x
    x = 471,437,660.05/25,042.86
  6. Step 6: Final answer
    x = 18,825.23

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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.