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Finding the Fourth Proportional to 20,641.86, 28,492.32 and 13,189.86

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Solution

The fourth proportional to 20,641.86, 28,492.32 and 13,189.86 is: 18,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.86 : 28,492.32 = 13,189.86 : x
  2. Step 2: Convert to fraction form
    20,641.86/28,492.32 = 13,189.86/x
  3. Step 3: Cross multiply
    20,641.86x = 28,492.32 × 13,189.86
  4. Step 4: Simplify right side
    20,641.86x = 375,809,711.88
  5. Step 5: Solve for x
    x = 375,809,711.88/20,641.86
  6. Step 6: Final answer
    x = 18,206.19

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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.