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Finding the Fourth Proportional to 25,770.50, 35,563.29 and 14,594.66

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Solution

The fourth proportional to 25,770.50, 35,563.29 and 14,594.66 is: 20,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.50 : 35,563.29 = 14,594.66 : x
  2. Step 2: Convert to fraction form
    25,770.50/35,563.29 = 14,594.66/x
  3. Step 3: Cross multiply
    25,770.50x = 35,563.29 × 14,594.66
  4. Step 4: Simplify right side
    25,770.50x = 519,034,126.03
  5. Step 5: Solve for x
    x = 519,034,126.03/25,770.50
  6. Step 6: Final answer
    x = 20,140.63

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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.