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Finding the Fourth Proportional to 22,684.24, 34,030.82 and 7,893.64

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Solution

The fourth proportional to 22,684.24, 34,030.82 and 7,893.64 is: 11,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.24 : 34,030.82 = 7,893.64 : x
  2. Step 2: Convert to fraction form
    22,684.24/34,030.82 = 7,893.64/x
  3. Step 3: Cross multiply
    22,684.24x = 34,030.82 × 7,893.64
  4. Step 4: Simplify right side
    22,684.24x = 268,627,002.52
  5. Step 5: Solve for x
    x = 268,627,002.52/22,684.24
  6. Step 6: Final answer
    x = 11,842.01

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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.