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Finding the Fourth Proportional to 13,099.29, 19,648.76 and 5,703.59

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Solution

The fourth proportional to 13,099.29, 19,648.76 and 5,703.59 is: 8,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.29 : 19,648.76 = 5,703.59 : x
  2. Step 2: Convert to fraction form
    13,099.29/19,648.76 = 5,703.59/x
  3. Step 3: Cross multiply
    13,099.29x = 19,648.76 × 5,703.59
  4. Step 4: Simplify right side
    13,099.29x = 112,068,471.05
  5. Step 5: Solve for x
    x = 112,068,471.05/13,099.29
  6. Step 6: Final answer
    x = 8,555.31

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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.