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Finding the Fourth Proportional to 22,576.00, 33,865.44 and 7,582.51

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Solution

The fourth proportional to 22,576.00, 33,865.44 and 7,582.51 is: 11,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.00 : 33,865.44 = 7,582.51 : x
  2. Step 2: Convert to fraction form
    22,576.00/33,865.44 = 7,582.51/x
  3. Step 3: Cross multiply
    22,576.00x = 33,865.44 × 7,582.51
  4. Step 4: Simplify right side
    22,576.00x = 256,785,094.00
  5. Step 5: Solve for x
    x = 256,785,094.00/22,576.00
  6. Step 6: Final answer
    x = 11,374.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.