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Finding the Fourth Proportional to 12,023.33, 16,592.97 and 7,983.83

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Solution

The fourth proportional to 12,023.33, 16,592.97 and 7,983.83 is: 11,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.33 : 16,592.97 = 7,983.83 : x
  2. Step 2: Convert to fraction form
    12,023.33/16,592.97 = 7,983.83/x
  3. Step 3: Cross multiply
    12,023.33x = 16,592.97 × 7,983.83
  4. Step 4: Simplify right side
    12,023.33x = 132,475,368.71
  5. Step 5: Solve for x
    x = 132,475,368.71/12,023.33
  6. Step 6: Final answer
    x = 11,018.20

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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.