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Finding the Fourth Proportional to 19,193.34, 28,777.70 and 8,097

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Solution

The fourth proportional to 19,193.34, 28,777.70 and 8,097 is: 12,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,193.34 : 28,777.70 = 8,097 : x
  2. Step 2: Convert to fraction form
    19,193.34/28,777.70 = 8,097/x
  3. Step 3: Cross multiply
    19,193.34x = 28,777.70 × 8,097
  4. Step 4: Simplify right side
    19,193.34x = 233,013,036.90
  5. Step 5: Solve for x
    x = 233,013,036.90/19,193.34
  6. Step 6: Final answer
    x = 12,140.31

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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.