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Finding the Fourth Proportional to 25,190.61, 34,764.21 and 14,578.20

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Solution

The fourth proportional to 25,190.61, 34,764.21 and 14,578.20 is: 20,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190.61 : 34,764.21 = 14,578.20 : x
  2. Step 2: Convert to fraction form
    25,190.61/34,764.21 = 14,578.20/x
  3. Step 3: Cross multiply
    25,190.61x = 34,764.21 × 14,578.20
  4. Step 4: Simplify right side
    25,190.61x = 506,799,606.22
  5. Step 5: Solve for x
    x = 506,799,606.22/25,190.61
  6. Step 6: Final answer
    x = 20,118.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.