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Finding the Fourth Proportional to 23,802.09, 35,694.86 and 9,758.13

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Solution

The fourth proportional to 23,802.09, 35,694.86 and 9,758.13 is: 14,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.09 : 35,694.86 = 9,758.13 : x
  2. Step 2: Convert to fraction form
    23,802.09/35,694.86 = 9,758.13/x
  3. Step 3: Cross multiply
    23,802.09x = 35,694.86 × 9,758.13
  4. Step 4: Simplify right side
    23,802.09x = 348,315,035.42
  5. Step 5: Solve for x
    x = 348,315,035.42/23,802.09
  6. Step 6: Final answer
    x = 14,633.80

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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.