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Finding the Fourth Proportional to 14,706.63, 20,294.87 and 7,992.14

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Solution

The fourth proportional to 14,706.63, 20,294.87 and 7,992.14 is: 11,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.63 : 20,294.87 = 7,992.14 : x
  2. Step 2: Convert to fraction form
    14,706.63/20,294.87 = 7,992.14/x
  3. Step 3: Cross multiply
    14,706.63x = 20,294.87 × 7,992.14
  4. Step 4: Simplify right side
    14,706.63x = 162,199,300.89
  5. Step 5: Solve for x
    x = 162,199,300.89/14,706.63
  6. Step 6: Final answer
    x = 11,028.99

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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.