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Finding the Fourth Proportional to 22,030, 33,047.09 and 7,238.99

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Solution

The fourth proportional to 22,030, 33,047.09 and 7,238.99 is: 10,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030 : 33,047.09 = 7,238.99 : x
  2. Step 2: Convert to fraction form
    22,030/33,047.09 = 7,238.99/x
  3. Step 3: Cross multiply
    22,030x = 33,047.09 × 7,238.99
  4. Step 4: Simplify right side
    22,030x = 239,227,554.04
  5. Step 5: Solve for x
    x = 239,227,554.04/22,030
  6. Step 6: Final answer
    x = 10,859.17

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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.