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Finding the Fourth Proportional to 15,109, 22,647.30 and 7,300.60

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Solution

The fourth proportional to 15,109, 22,647.30 and 7,300.60 is: 10,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109 : 22,647.30 = 7,300.60 : x
  2. Step 2: Convert to fraction form
    15,109/22,647.30 = 7,300.60/x
  3. Step 3: Cross multiply
    15,109x = 22,647.30 × 7,300.60
  4. Step 4: Simplify right side
    15,109x = 165,338,878.38
  5. Step 5: Solve for x
    x = 165,338,878.38/15,109
  6. Step 6: Final answer
    x = 10,943.07

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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.