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Finding the Fourth Proportional to 19,783.37, 27,301.70 and 10,830.87

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Solution

The fourth proportional to 19,783.37, 27,301.70 and 10,830.87 is: 14,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.37 : 27,301.70 = 10,830.87 : x
  2. Step 2: Convert to fraction form
    19,783.37/27,301.70 = 10,830.87/x
  3. Step 3: Cross multiply
    19,783.37x = 27,301.70 × 10,830.87
  4. Step 4: Simplify right side
    19,783.37x = 295,701,163.48
  5. Step 5: Solve for x
    x = 295,701,163.48/19,783.37
  6. Step 6: Final answer
    x = 14,946.96

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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.