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Finding the Fourth Proportional to 12,522.36, 18,779.79 and 7,849.47

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Solution

The fourth proportional to 12,522.36, 18,779.79 and 7,849.47 is: 11,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.36 : 18,779.79 = 7,849.47 : x
  2. Step 2: Convert to fraction form
    12,522.36/18,779.79 = 7,849.47/x
  3. Step 3: Cross multiply
    12,522.36x = 18,779.79 × 7,849.47
  4. Step 4: Simplify right side
    12,522.36x = 147,411,398.21
  5. Step 5: Solve for x
    x = 147,411,398.21/12,522.36
  6. Step 6: Final answer
    x = 11,771.85

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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.