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Finding the Fourth Proportional to 14,706.36, 20,294.80 and 7,992.06

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Solution

The fourth proportional to 14,706.36, 20,294.80 and 7,992.06 is: 11,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.36 : 20,294.80 = 7,992.06 : x
  2. Step 2: Convert to fraction form
    14,706.36/20,294.80 = 7,992.06/x
  3. Step 3: Cross multiply
    14,706.36x = 20,294.80 × 7,992.06
  4. Step 4: Simplify right side
    14,706.36x = 162,197,259.29
  5. Step 5: Solve for x
    x = 162,197,259.29/14,706.36
  6. Step 6: Final answer
    x = 11,029.06

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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.