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Finding the Fourth Proportional to 25,741.50, 35,523.03 and 14,563.50

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Solution

The fourth proportional to 25,741.50, 35,523.03 and 14,563.50 is: 20,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.50 : 35,523.03 = 14,563.50 : x
  2. Step 2: Convert to fraction form
    25,741.50/35,523.03 = 14,563.50/x
  3. Step 3: Cross multiply
    25,741.50x = 35,523.03 × 14,563.50
  4. Step 4: Simplify right side
    25,741.50x = 517,339,647.41
  5. Step 5: Solve for x
    x = 517,339,647.41/25,741.50
  6. Step 6: Final answer
    x = 20,097.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.