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Finding the Fourth Proportional to 25,983.36, 38,971.80 and 10,401.12

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Solution

The fourth proportional to 25,983.36, 38,971.80 and 10,401.12 is: 15,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983.36 : 38,971.80 = 10,401.12 : x
  2. Step 2: Convert to fraction form
    25,983.36/38,971.80 = 10,401.12/x
  3. Step 3: Cross multiply
    25,983.36x = 38,971.80 × 10,401.12
  4. Step 4: Simplify right side
    25,983.36x = 405,350,368.42
  5. Step 5: Solve for x
    x = 405,350,368.42/25,983.36
  6. Step 6: Final answer
    x = 15,600.38

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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.