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Finding the Fourth Proportional to 22,319.50, 30,800.92 and 12,383.50

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Solution

The fourth proportional to 22,319.50, 30,800.92 and 12,383.50 is: 17,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319.50 : 30,800.92 = 12,383.50 : x
  2. Step 2: Convert to fraction form
    22,319.50/30,800.92 = 12,383.50/x
  3. Step 3: Cross multiply
    22,319.50x = 30,800.92 × 12,383.50
  4. Step 4: Simplify right side
    22,319.50x = 381,423,192.82
  5. Step 5: Solve for x
    x = 381,423,192.82/22,319.50
  6. Step 6: Final answer
    x = 17,089.24

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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.