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Finding the Fourth Proportional to 19,047.93, 28,576.46 and 7,948.45

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Solution

The fourth proportional to 19,047.93, 28,576.46 and 7,948.45 is: 11,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047.93 : 28,576.46 = 7,948.45 : x
  2. Step 2: Convert to fraction form
    19,047.93/28,576.46 = 7,948.45/x
  3. Step 3: Cross multiply
    19,047.93x = 28,576.46 × 7,948.45
  4. Step 4: Simplify right side
    19,047.93x = 227,138,511.92
  5. Step 5: Solve for x
    x = 227,138,511.92/19,047.93
  6. Step 6: Final answer
    x = 11,924.57

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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.