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Finding the Fourth Proportional to 21,364.41, 29,460.24 and 14,659.83

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Solution

The fourth proportional to 21,364.41, 29,460.24 and 14,659.83 is: 20,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.41 : 29,460.24 = 14,659.83 : x
  2. Step 2: Convert to fraction form
    21,364.41/29,460.24 = 14,659.83/x
  3. Step 3: Cross multiply
    21,364.41x = 29,460.24 × 14,659.83
  4. Step 4: Simplify right side
    21,364.41x = 431,882,110.16
  5. Step 5: Solve for x
    x = 431,882,110.16/21,364.41
  6. Step 6: Final answer
    x = 20,215.03

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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.