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Finding the Fourth Proportional to 24,205.83, 36,308.77 and 7,565.94

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Solution

The fourth proportional to 24,205.83, 36,308.77 and 7,565.94 is: 11,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.83 : 36,308.77 = 7,565.94 : x
  2. Step 2: Convert to fraction form
    24,205.83/36,308.77 = 7,565.94/x
  3. Step 3: Cross multiply
    24,205.83x = 36,308.77 × 7,565.94
  4. Step 4: Simplify right side
    24,205.83x = 274,709,975.29
  5. Step 5: Solve for x
    x = 274,709,975.29/24,205.83
  6. Step 6: Final answer
    x = 11,348.92

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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.