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Finding the Fourth Proportional to 25,649.99, 35,397.54 and 14,164.86

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Solution

The fourth proportional to 25,649.99, 35,397.54 and 14,164.86 is: 19,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.99 : 35,397.54 = 14,164.86 : x
  2. Step 2: Convert to fraction form
    25,649.99/35,397.54 = 14,164.86/x
  3. Step 3: Cross multiply
    25,649.99x = 35,397.54 × 14,164.86
  4. Step 4: Simplify right side
    25,649.99x = 501,401,198.44
  5. Step 5: Solve for x
    x = 501,401,198.44/25,649.99
  6. Step 6: Final answer
    x = 19,547.81

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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.