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Finding the Fourth Proportional to 25,744.50, 35,527.95 and 14,566.50

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Solution

The fourth proportional to 25,744.50, 35,527.95 and 14,566.50 is: 20,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.50 : 35,527.95 = 14,566.50 : x
  2. Step 2: Convert to fraction form
    25,744.50/35,527.95 = 14,566.50/x
  3. Step 3: Cross multiply
    25,744.50x = 35,527.95 × 14,566.50
  4. Step 4: Simplify right side
    25,744.50x = 517,517,883.68
  5. Step 5: Solve for x
    x = 517,517,883.68/25,744.50
  6. Step 6: Final answer
    x = 20,102.08

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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.