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Finding the Fourth Proportional to 23,800.84, 32,778.73 and 23,284.16

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Solution

The fourth proportional to 23,800.84, 32,778.73 and 23,284.16 is: 32,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800.84 : 32,778.73 = 23,284.16 : x
  2. Step 2: Convert to fraction form
    23,800.84/32,778.73 = 23,284.16/x
  3. Step 3: Cross multiply
    23,800.84x = 32,778.73 × 23,284.16
  4. Step 4: Simplify right side
    23,800.84x = 763,225,051.08
  5. Step 5: Solve for x
    x = 763,225,051.08/23,800.84
  6. Step 6: Final answer
    x = 32,067.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.