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Finding the Fourth Proportional to 22,598.10, 33,896.79 and 7,015.74

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Solution

The fourth proportional to 22,598.10, 33,896.79 and 7,015.74 is: 10,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598.10 : 33,896.79 = 7,015.74 : x
  2. Step 2: Convert to fraction form
    22,598.10/33,896.79 = 7,015.74/x
  3. Step 3: Cross multiply
    22,598.10x = 33,896.79 × 7,015.74
  4. Step 4: Simplify right side
    22,598.10x = 237,811,065.47
  5. Step 5: Solve for x
    x = 237,811,065.47/22,598.10
  6. Step 6: Final answer
    x = 10,523.50

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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.