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Finding the Fourth Proportional to 13,430.70, 18,539.96 and 8,124.19

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Solution

The fourth proportional to 13,430.70, 18,539.96 and 8,124.19 is: 11,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.70 : 18,539.96 = 8,124.19 : x
  2. Step 2: Convert to fraction form
    13,430.70/18,539.96 = 8,124.19/x
  3. Step 3: Cross multiply
    13,430.70x = 18,539.96 × 8,124.19
  4. Step 4: Simplify right side
    13,430.70x = 150,622,070.66
  5. Step 5: Solve for x
    x = 150,622,070.66/13,430.70
  6. Step 6: Final answer
    x = 11,214.76

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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.