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Finding the Fourth Proportional to 25,798.53, 38,692.92 and 9,157.89

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Solution

The fourth proportional to 25,798.53, 38,692.92 and 9,157.89 is: 13,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798.53 : 38,692.92 = 9,157.89 : x
  2. Step 2: Convert to fraction form
    25,798.53/38,692.92 = 9,157.89/x
  3. Step 3: Cross multiply
    25,798.53x = 38,692.92 × 9,157.89
  4. Step 4: Simplify right side
    25,798.53x = 354,345,505.14
  5. Step 5: Solve for x
    x = 354,345,505.14/25,798.53
  6. Step 6: Final answer
    x = 13,735.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.