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Finding the Fourth Proportional to 25,901.74, 35,744.06 and 14,571.20

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Solution

The fourth proportional to 25,901.74, 35,744.06 and 14,571.20 is: 20,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.74 : 35,744.06 = 14,571.20 : x
  2. Step 2: Convert to fraction form
    25,901.74/35,744.06 = 14,571.20/x
  3. Step 3: Cross multiply
    25,901.74x = 35,744.06 × 14,571.20
  4. Step 4: Simplify right side
    25,901.74x = 520,833,847.07
  5. Step 5: Solve for x
    x = 520,833,847.07/25,901.74
  6. Step 6: Final answer
    x = 20,108.06

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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.