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Finding the Fourth Proportional to 25,982.17, 38,978.11 and 10,401.01

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Solution

The fourth proportional to 25,982.17, 38,978.11 and 10,401.01 is: 15,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,982.17 : 38,978.11 = 10,401.01 : x
  2. Step 2: Convert to fraction form
    25,982.17/38,978.11 = 10,401.01/x
  3. Step 3: Cross multiply
    25,982.17x = 38,978.11 × 10,401.01
  4. Step 4: Simplify right side
    25,982.17x = 405,411,627.45
  5. Step 5: Solve for x
    x = 405,411,627.45/25,982.17
  6. Step 6: Final answer
    x = 15,603.46

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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.