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Finding the Fourth Proportional to 14,565.96, 20,099.34 and 8,191.26

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Solution

The fourth proportional to 14,565.96, 20,099.34 and 8,191.26 is: 11,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.96 : 20,099.34 = 8,191.26 : x
  2. Step 2: Convert to fraction form
    14,565.96/20,099.34 = 8,191.26/x
  3. Step 3: Cross multiply
    14,565.96x = 20,099.34 × 8,191.26
  4. Step 4: Simplify right side
    14,565.96x = 164,638,919.77
  5. Step 5: Solve for x
    x = 164,638,919.77/14,565.96
  6. Step 6: Final answer
    x = 11,302.99

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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.