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Finding the Fourth Proportional to 14,647.56, 22,086.26 and 13,422.84

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Solution

The fourth proportional to 14,647.56, 22,086.26 and 13,422.84 is: 20,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.56 : 22,086.26 = 13,422.84 : x
  2. Step 2: Convert to fraction form
    14,647.56/22,086.26 = 13,422.84/x
  3. Step 3: Cross multiply
    14,647.56x = 22,086.26 × 13,422.84
  4. Step 4: Simplify right side
    14,647.56x = 296,460,267.06
  5. Step 5: Solve for x
    x = 296,460,267.06/14,647.56
  6. Step 6: Final answer
    x = 20,239.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.