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Finding the Fourth Proportional to 13,543.09, 20,317.36 and 8,000.41

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Solution

The fourth proportional to 13,543.09, 20,317.36 and 8,000.41 is: 12,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.09 : 20,317.36 = 8,000.41 : x
  2. Step 2: Convert to fraction form
    13,543.09/20,317.36 = 8,000.41/x
  3. Step 3: Cross multiply
    13,543.09x = 20,317.36 × 8,000.41
  4. Step 4: Simplify right side
    13,543.09x = 162,547,210.12
  5. Step 5: Solve for x
    x = 162,547,210.12/13,543.09
  6. Step 6: Final answer
    x = 12,002.22

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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.