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Finding the Fourth Proportional to 15,542.50, 23,323.47 and 6,308.50

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Solution

The fourth proportional to 15,542.50, 23,323.47 and 6,308.50 is: 9,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.50 : 23,323.47 = 6,308.50 : x
  2. Step 2: Convert to fraction form
    15,542.50/23,323.47 = 6,308.50/x
  3. Step 3: Cross multiply
    15,542.50x = 23,323.47 × 6,308.50
  4. Step 4: Simplify right side
    15,542.50x = 147,136,078.95
  5. Step 5: Solve for x
    x = 147,136,078.95/15,542.50
  6. Step 6: Final answer
    x = 9,466.69

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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.