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Finding the Fourth Proportional to 25,108.98, 34,649.22 and 13,778.19

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Solution

The fourth proportional to 25,108.98, 34,649.22 and 13,778.19 is: 19,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108.98 : 34,649.22 = 13,778.19 : x
  2. Step 2: Convert to fraction form
    25,108.98/34,649.22 = 13,778.19/x
  3. Step 3: Cross multiply
    25,108.98x = 34,649.22 × 13,778.19
  4. Step 4: Simplify right side
    25,108.98x = 477,403,536.51
  5. Step 5: Solve for x
    x = 477,403,536.51/25,108.98
  6. Step 6: Final answer
    x = 19,013.26

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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.