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Finding the Fourth Proportional to 13,689.98, 20,558.66 and 13,066.68

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Solution

The fourth proportional to 13,689.98, 20,558.66 and 13,066.68 is: 19,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.98 : 20,558.66 = 13,066.68 : x
  2. Step 2: Convert to fraction form
    13,689.98/20,558.66 = 13,066.68/x
  3. Step 3: Cross multiply
    13,689.98x = 20,558.66 × 13,066.68
  4. Step 4: Simplify right side
    13,689.98x = 268,633,366.12
  5. Step 5: Solve for x
    x = 268,633,366.12/13,689.98
  6. Step 6: Final answer
    x = 19,622.63

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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.