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Finding the Fourth Proportional to 13,997.29, 20,997.05 and 4,636.93

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Solution

The fourth proportional to 13,997.29, 20,997.05 and 4,636.93 is: 6,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.29 : 20,997.05 = 4,636.93 : x
  2. Step 2: Convert to fraction form
    13,997.29/20,997.05 = 4,636.93/x
  3. Step 3: Cross multiply
    13,997.29x = 20,997.05 × 4,636.93
  4. Step 4: Simplify right side
    13,997.29x = 97,361,851.06
  5. Step 5: Solve for x
    x = 97,361,851.06/13,997.29
  6. Step 6: Final answer
    x = 6,955.76

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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.