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Finding the Fourth Proportional to 23,931.98, 35,898 and 6,401.80

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Solution

The fourth proportional to 23,931.98, 35,898 and 6,401.80 is: 9,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931.98 : 35,898 = 6,401.80 : x
  2. Step 2: Convert to fraction form
    23,931.98/35,898 = 6,401.80/x
  3. Step 3: Cross multiply
    23,931.98x = 35,898 × 6,401.80
  4. Step 4: Simplify right side
    23,931.98x = 229,811,816.40
  5. Step 5: Solve for x
    x = 229,811,816.40/23,931.98
  6. Step 6: Final answer
    x = 9,602.71

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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.