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Finding the Fourth Proportional to 22,992.42, 31,729.41 and 14,038.68

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Solution

The fourth proportional to 22,992.42, 31,729.41 and 14,038.68 is: 19,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.42 : 31,729.41 = 14,038.68 : x
  2. Step 2: Convert to fraction form
    22,992.42/31,729.41 = 14,038.68/x
  3. Step 3: Cross multiply
    22,992.42x = 31,729.41 × 14,038.68
  4. Step 4: Simplify right side
    22,992.42x = 445,439,033.58
  5. Step 5: Solve for x
    x = 445,439,033.58/22,992.42
  6. Step 6: Final answer
    x = 19,373.30

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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.