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Finding the Fourth Proportional to 14,005.82, 20,853.23 and 13,809.68

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Solution

The fourth proportional to 14,005.82, 20,853.23 and 13,809.68 is: 20,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.82 : 20,853.23 = 13,809.68 : x
  2. Step 2: Convert to fraction form
    14,005.82/20,853.23 = 13,809.68/x
  3. Step 3: Cross multiply
    14,005.82x = 20,853.23 × 13,809.68
  4. Step 4: Simplify right side
    14,005.82x = 287,976,259.95
  5. Step 5: Solve for x
    x = 287,976,259.95/14,005.82
  6. Step 6: Final answer
    x = 20,561.19

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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.