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Finding the Fourth Proportional to 22,483.58, 33,725.81 and 7,709.47

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Solution

The fourth proportional to 22,483.58, 33,725.81 and 7,709.47 is: 11,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.58 : 33,725.81 = 7,709.47 : x
  2. Step 2: Convert to fraction form
    22,483.58/33,725.81 = 7,709.47/x
  3. Step 3: Cross multiply
    22,483.58x = 33,725.81 × 7,709.47
  4. Step 4: Simplify right side
    22,483.58x = 260,008,055.38
  5. Step 5: Solve for x
    x = 260,008,055.38/22,483.58
  6. Step 6: Final answer
    x = 11,564.36

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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.