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Finding the Fourth Proportional to 15,378.49, 23,049.80 and 7,059.38

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Solution

The fourth proportional to 15,378.49, 23,049.80 and 7,059.38 is: 10,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,378.49 : 23,049.80 = 7,059.38 : x
  2. Step 2: Convert to fraction form
    15,378.49/23,049.80 = 7,059.38/x
  3. Step 3: Cross multiply
    15,378.49x = 23,049.80 × 7,059.38
  4. Step 4: Simplify right side
    15,378.49x = 162,717,297.12
  5. Step 5: Solve for x
    x = 162,717,297.12/15,378.49
  6. Step 6: Final answer
    x = 10,580.84

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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.