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Finding the Fourth Proportional to 19,866.14, 29,764.19 and 10,485.50

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Solution

The fourth proportional to 19,866.14, 29,764.19 and 10,485.50 is: 15,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866.14 : 29,764.19 = 10,485.50 : x
  2. Step 2: Convert to fraction form
    19,866.14/29,764.19 = 10,485.50/x
  3. Step 3: Cross multiply
    19,866.14x = 29,764.19 × 10,485.50
  4. Step 4: Simplify right side
    19,866.14x = 312,092,213.00
  5. Step 5: Solve for x
    x = 312,092,213.00/19,866.14
  6. Step 6: Final answer
    x = 15,709.75

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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.