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Finding the Fourth Proportional to 13,093.50, 19,619.70 and 5,191.74

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Solution

The fourth proportional to 13,093.50, 19,619.70 and 5,191.74 is: 7,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.50 : 19,619.70 = 5,191.74 : x
  2. Step 2: Convert to fraction form
    13,093.50/19,619.70 = 5,191.74/x
  3. Step 3: Cross multiply
    13,093.50x = 19,619.70 × 5,191.74
  4. Step 4: Simplify right side
    13,093.50x = 101,860,381.28
  5. Step 5: Solve for x
    x = 101,860,381.28/13,093.50
  6. Step 6: Final answer
    x = 7,779.46

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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.