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Finding the Fourth Proportional to 22,993.42, 31,730.79 and 14,039.68

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Solution

The fourth proportional to 22,993.42, 31,730.79 and 14,039.68 is: 19,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.42 : 31,730.79 = 14,039.68 : x
  2. Step 2: Convert to fraction form
    22,993.42/31,730.79 = 14,039.68/x
  3. Step 3: Cross multiply
    22,993.42x = 31,730.79 × 14,039.68
  4. Step 4: Simplify right side
    22,993.42x = 445,490,137.75
  5. Step 5: Solve for x
    x = 445,490,137.75/22,993.42
  6. Step 6: Final answer
    x = 19,374.68

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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.