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Finding the Fourth Proportional to 13,641.41, 20,341.63 and 11,982.32

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Solution

The fourth proportional to 13,641.41, 20,341.63 and 11,982.32 is: 17,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.41 : 20,341.63 = 11,982.32 : x
  2. Step 2: Convert to fraction form
    13,641.41/20,341.63 = 11,982.32/x
  3. Step 3: Cross multiply
    13,641.41x = 20,341.63 × 11,982.32
  4. Step 4: Simplify right side
    13,641.41x = 243,739,985.81
  5. Step 5: Solve for x
    x = 243,739,985.81/13,641.41
  6. Step 6: Final answer
    x = 17,867.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.