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Finding the Fourth Proportional to 19,533.69, 29,300.40 and 6,383.07

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Solution

The fourth proportional to 19,533.69, 29,300.40 and 6,383.07 is: 9,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.69 : 29,300.40 = 6,383.07 : x
  2. Step 2: Convert to fraction form
    19,533.69/29,300.40 = 6,383.07/x
  3. Step 3: Cross multiply
    19,533.69x = 29,300.40 × 6,383.07
  4. Step 4: Simplify right side
    19,533.69x = 187,026,504.23
  5. Step 5: Solve for x
    x = 187,026,504.23/19,533.69
  6. Step 6: Final answer
    x = 9,574.56

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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.