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Finding the Fourth Proportional to 24,422.69, 36,631.67 and 7,779.77

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Solution

The fourth proportional to 24,422.69, 36,631.67 and 7,779.77 is: 11,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.69 : 36,631.67 = 7,779.77 : x
  2. Step 2: Convert to fraction form
    24,422.69/36,631.67 = 7,779.77/x
  3. Step 3: Cross multiply
    24,422.69x = 36,631.67 × 7,779.77
  4. Step 4: Simplify right side
    24,422.69x = 284,985,745.26
  5. Step 5: Solve for x
    x = 284,985,745.26/24,422.69
  6. Step 6: Final answer
    x = 11,668.89

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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.