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Finding the Fourth Proportional to 23,036.97, 34,533.56 and 9,006

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Solution

The fourth proportional to 23,036.97, 34,533.56 and 9,006 is: 13,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,036.97 : 34,533.56 = 9,006 : x
  2. Step 2: Convert to fraction form
    23,036.97/34,533.56 = 9,006/x
  3. Step 3: Cross multiply
    23,036.97x = 34,533.56 × 9,006
  4. Step 4: Simplify right side
    23,036.97x = 311,009,196.33
  5. Step 5: Solve for x
    x = 311,009,196.33/23,036.97
  6. Step 6: Final answer
    x = 13,500.44

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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.