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Finding the Fourth Proportional to 22,586.78, 33,809.13 and 15,525.50

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Solution

The fourth proportional to 22,586.78, 33,809.13 and 15,525.50 is: 23,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.78 : 33,809.13 = 15,525.50 : x
  2. Step 2: Convert to fraction form
    22,586.78/33,809.13 = 15,525.50/x
  3. Step 3: Cross multiply
    22,586.78x = 33,809.13 × 15,525.50
  4. Step 4: Simplify right side
    22,586.78x = 524,903,478.77
  5. Step 5: Solve for x
    x = 524,903,478.77/22,586.78
  6. Step 6: Final answer
    x = 23,239.41

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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.