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Finding the Fourth Proportional to 22,723.68, 34,014.21 and 14,374.74

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Solution

The fourth proportional to 22,723.68, 34,014.21 and 14,374.74 is: 21,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.68 : 34,014.21 = 14,374.74 : x
  2. Step 2: Convert to fraction form
    22,723.68/34,014.21 = 14,374.74/x
  3. Step 3: Cross multiply
    22,723.68x = 34,014.21 × 14,374.74
  4. Step 4: Simplify right side
    22,723.68x = 488,945,425.06
  5. Step 5: Solve for x
    x = 488,945,425.06/22,723.68
  6. Step 6: Final answer
    x = 21,517.00

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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.