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Finding the Fourth Proportional to 19,735.77, 27,234.90 and 10,783.29

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Solution

The fourth proportional to 19,735.77, 27,234.90 and 10,783.29 is: 14,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.77 : 27,234.90 = 10,783.29 : x
  2. Step 2: Convert to fraction form
    19,735.77/27,234.90 = 10,783.29/x
  3. Step 3: Cross multiply
    19,735.77x = 27,234.90 × 10,783.29
  4. Step 4: Simplify right side
    19,735.77x = 293,681,824.82
  5. Step 5: Solve for x
    x = 293,681,824.82/19,735.77
  6. Step 6: Final answer
    x = 14,880.69

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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.