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Finding the Fourth Proportional to 25,801.29, 38,669.54 and 9,147.69

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Solution

The fourth proportional to 25,801.29, 38,669.54 and 9,147.69 is: 13,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.29 : 38,669.54 = 9,147.69 : x
  2. Step 2: Convert to fraction form
    25,801.29/38,669.54 = 9,147.69/x
  3. Step 3: Cross multiply
    25,801.29x = 38,669.54 × 9,147.69
  4. Step 4: Simplify right side
    25,801.29x = 353,736,918.62
  5. Step 5: Solve for x
    x = 353,736,918.62/25,801.29
  6. Step 6: Final answer
    x = 13,710.05

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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.