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Finding the Fourth Proportional to 25,749, 35,529.51 and 14,418.99

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Solution

The fourth proportional to 25,749, 35,529.51 and 14,418.99 is: 19,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,749 : 35,529.51 = 14,418.99 : x
  2. Step 2: Convert to fraction form
    25,749/35,529.51 = 14,418.99/x
  3. Step 3: Cross multiply
    25,749x = 35,529.51 × 14,418.99
  4. Step 4: Simplify right side
    25,749x = 512,299,649.39
  5. Step 5: Solve for x
    x = 512,299,649.39/25,749
  6. Step 6: Final answer
    x = 19,895.90

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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.