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Finding the Fourth Proportional to 22,992.74, 31,732.92 and 14,038.33

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Solution

The fourth proportional to 22,992.74, 31,732.92 and 14,038.33 is: 19,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.74 : 31,732.92 = 14,038.33 : x
  2. Step 2: Convert to fraction form
    22,992.74/31,732.92 = 14,038.33/x
  3. Step 3: Cross multiply
    22,992.74x = 31,732.92 × 14,038.33
  4. Step 4: Simplify right side
    22,992.74x = 445,477,202.82
  5. Step 5: Solve for x
    x = 445,477,202.82/22,992.74
  6. Step 6: Final answer
    x = 19,374.69

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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.