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Finding the Fourth Proportional to 19,533.81, 29,282.65 and 7,694.03

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Solution

The fourth proportional to 19,533.81, 29,282.65 and 7,694.03 is: 11,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.81 : 29,282.65 = 7,694.03 : x
  2. Step 2: Convert to fraction form
    19,533.81/29,282.65 = 7,694.03/x
  3. Step 3: Cross multiply
    19,533.81x = 29,282.65 × 7,694.03
  4. Step 4: Simplify right side
    19,533.81x = 225,301,587.58
  5. Step 5: Solve for x
    x = 225,301,587.58/19,533.81
  6. Step 6: Final answer
    x = 11,533.93

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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.