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Finding the Fourth Proportional to 25,214.85, 37,811.34 and 8,570.42

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Solution

The fourth proportional to 25,214.85, 37,811.34 and 8,570.42 is: 12,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.85 : 37,811.34 = 8,570.42 : x
  2. Step 2: Convert to fraction form
    25,214.85/37,811.34 = 8,570.42/x
  3. Step 3: Cross multiply
    25,214.85x = 37,811.34 × 8,570.42
  4. Step 4: Simplify right side
    25,214.85x = 324,058,935.06
  5. Step 5: Solve for x
    x = 324,058,935.06/25,214.85
  6. Step 6: Final answer
    x = 12,851.91

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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.