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Finding the Fourth Proportional to 23,764.74, 35,639.91 and 9,910.50

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Solution

The fourth proportional to 23,764.74, 35,639.91 and 9,910.50 is: 14,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.74 : 35,639.91 = 9,910.50 : x
  2. Step 2: Convert to fraction form
    23,764.74/35,639.91 = 9,910.50/x
  3. Step 3: Cross multiply
    23,764.74x = 35,639.91 × 9,910.50
  4. Step 4: Simplify right side
    23,764.74x = 353,209,328.06
  5. Step 5: Solve for x
    x = 353,209,328.06/23,764.74
  6. Step 6: Final answer
    x = 14,862.75

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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.