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Finding the Fourth Proportional to 23,567.86, 35,352.11 and 7,774.53

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Solution

The fourth proportional to 23,567.86, 35,352.11 and 7,774.53 is: 11,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.86 : 35,352.11 = 7,774.53 : x
  2. Step 2: Convert to fraction form
    23,567.86/35,352.11 = 7,774.53/x
  3. Step 3: Cross multiply
    23,567.86x = 35,352.11 × 7,774.53
  4. Step 4: Simplify right side
    23,567.86x = 274,846,039.76
  5. Step 5: Solve for x
    x = 274,846,039.76/23,567.86
  6. Step 6: Final answer
    x = 11,661.90

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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.