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Finding the Fourth Proportional to 15,300.98, 22,933.02 and 7,901.41

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Solution

The fourth proportional to 15,300.98, 22,933.02 and 7,901.41 is: 11,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300.98 : 22,933.02 = 7,901.41 : x
  2. Step 2: Convert to fraction form
    15,300.98/22,933.02 = 7,901.41/x
  3. Step 3: Cross multiply
    15,300.98x = 22,933.02 × 7,901.41
  4. Step 4: Simplify right side
    15,300.98x = 181,203,136.23
  5. Step 5: Solve for x
    x = 181,203,136.23/15,300.98
  6. Step 6: Final answer
    x = 11,842.58

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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.