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Finding the Fourth Proportional to 19,783.80, 29,666.11 and 7,309.70

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Solution

The fourth proportional to 19,783.80, 29,666.11 and 7,309.70 is: 10,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.80 : 29,666.11 = 7,309.70 : x
  2. Step 2: Convert to fraction form
    19,783.80/29,666.11 = 7,309.70/x
  3. Step 3: Cross multiply
    19,783.80x = 29,666.11 × 7,309.70
  4. Step 4: Simplify right side
    19,783.80x = 216,850,364.27
  5. Step 5: Solve for x
    x = 216,850,364.27/19,783.80
  6. Step 6: Final answer
    x = 10,961.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.