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Finding the Fourth Proportional to 23,401, 35,117.88 and 10,257.40

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Solution

The fourth proportional to 23,401, 35,117.88 and 10,257.40 is: 15,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,401 : 35,117.88 = 10,257.40 : x
  2. Step 2: Convert to fraction form
    23,401/35,117.88 = 10,257.40/x
  3. Step 3: Cross multiply
    23,401x = 35,117.88 × 10,257.40
  4. Step 4: Simplify right side
    23,401x = 360,218,142.31
  5. Step 5: Solve for x
    x = 360,218,142.31/23,401
  6. Step 6: Final answer
    x = 15,393.28

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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.