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Finding the Fourth Proportional to 19,930.50, 27,505.34 and 10,978.01

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Solution

The fourth proportional to 19,930.50, 27,505.34 and 10,978.01 is: 15,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.50 : 27,505.34 = 10,978.01 : x
  2. Step 2: Convert to fraction form
    19,930.50/27,505.34 = 10,978.01/x
  3. Step 3: Cross multiply
    19,930.50x = 27,505.34 × 10,978.01
  4. Step 4: Simplify right side
    19,930.50x = 301,953,705.16
  5. Step 5: Solve for x
    x = 301,953,705.16/19,930.50
  6. Step 6: Final answer
    x = 15,150.33

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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.