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Finding the Fourth Proportional to 25,840.01, 38,760.16 and 9,200.69

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Solution

The fourth proportional to 25,840.01, 38,760.16 and 9,200.69 is: 13,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.01 : 38,760.16 = 9,200.69 : x
  2. Step 2: Convert to fraction form
    25,840.01/38,760.16 = 9,200.69/x
  3. Step 3: Cross multiply
    25,840.01x = 38,760.16 × 9,200.69
  4. Step 4: Simplify right side
    25,840.01x = 356,620,022.71
  5. Step 5: Solve for x
    x = 356,620,022.71/25,840.01
  6. Step 6: Final answer
    x = 13,801.08

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