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Finding the Fourth Proportional to 18,963.74, 28,442.37 and 5,109.50

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Solution

The fourth proportional to 18,963.74, 28,442.37 and 5,109.50 is: 7,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,963.74 : 28,442.37 = 5,109.50 : x
  2. Step 2: Convert to fraction form
    18,963.74/28,442.37 = 5,109.50/x
  3. Step 3: Cross multiply
    18,963.74x = 28,442.37 × 5,109.50
  4. Step 4: Simplify right side
    18,963.74x = 145,326,289.52
  5. Step 5: Solve for x
    x = 145,326,289.52/18,963.74
  6. Step 6: Final answer
    x = 7,663.38

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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.