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Finding the Fourth Proportional to 25,383.18, 38,072.02 and 6,665.10

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Solution

The fourth proportional to 25,383.18, 38,072.02 and 6,665.10 is: 9,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,383.18 : 38,072.02 = 6,665.10 : x
  2. Step 2: Convert to fraction form
    25,383.18/38,072.02 = 6,665.10/x
  3. Step 3: Cross multiply
    25,383.18x = 38,072.02 × 6,665.10
  4. Step 4: Simplify right side
    25,383.18x = 253,753,820.50
  5. Step 5: Solve for x
    x = 253,753,820.50/25,383.18
  6. Step 6: Final answer
    x = 9,996.93

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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.