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Finding the Fourth Proportional to 25,385.34, 38,078.00 and 6,665.34

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Solution

The fourth proportional to 25,385.34, 38,078.00 and 6,665.34 is: 9,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385.34 : 38,078.00 = 6,665.34 : x
  2. Step 2: Convert to fraction form
    25,385.34/38,078.00 = 6,665.34/x
  3. Step 3: Cross multiply
    25,385.34x = 38,078.00 × 6,665.34
  4. Step 4: Simplify right side
    25,385.34x = 253,802,902.65
  5. Step 5: Solve for x
    x = 253,802,902.65/25,385.34
  6. Step 6: Final answer
    x = 9,998.01

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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.