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Finding the Fourth Proportional to 14,289.96, 19,720.11 and 8,002.33

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Solution

The fourth proportional to 14,289.96, 19,720.11 and 8,002.33 is: 11,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.96 : 19,720.11 = 8,002.33 : x
  2. Step 2: Convert to fraction form
    14,289.96/19,720.11 = 8,002.33/x
  3. Step 3: Cross multiply
    14,289.96x = 19,720.11 × 8,002.33
  4. Step 4: Simplify right side
    14,289.96x = 157,806,827.86
  5. Step 5: Solve for x
    x = 157,806,827.86/14,289.96
  6. Step 6: Final answer
    x = 11,043.20

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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.