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Finding the Fourth Proportional to 23,190.50, 34,782.92 and 9,868.86

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Solution

The fourth proportional to 23,190.50, 34,782.92 and 9,868.86 is: 14,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.50 : 34,782.92 = 9,868.86 : x
  2. Step 2: Convert to fraction form
    23,190.50/34,782.92 = 9,868.86/x
  3. Step 3: Cross multiply
    23,190.50x = 34,782.92 × 9,868.86
  4. Step 4: Simplify right side
    23,190.50x = 343,267,895.22
  5. Step 5: Solve for x
    x = 343,267,895.22/23,190.50
  6. Step 6: Final answer
    x = 14,802.09

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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.