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Finding the Fourth Proportional to 23,779.87, 32,813.56 and 13,166.84

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Solution

The fourth proportional to 23,779.87, 32,813.56 and 13,166.84 is: 18,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.87 : 32,813.56 = 13,166.84 : x
  2. Step 2: Convert to fraction form
    23,779.87/32,813.56 = 13,166.84/x
  3. Step 3: Cross multiply
    23,779.87x = 32,813.56 × 13,166.84
  4. Step 4: Simplify right side
    23,779.87x = 432,050,894.35
  5. Step 5: Solve for x
    x = 432,050,894.35/23,779.87
  6. Step 6: Final answer
    x = 18,168.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.