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Finding the Fourth Proportional to 19,096.75, 28,648.77 and 8,708.50

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Solution

The fourth proportional to 19,096.75, 28,648.77 and 8,708.50 is: 13,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.75 : 28,648.77 = 8,708.50 : x
  2. Step 2: Convert to fraction form
    19,096.75/28,648.77 = 8,708.50/x
  3. Step 3: Cross multiply
    19,096.75x = 28,648.77 × 8,708.50
  4. Step 4: Simplify right side
    19,096.75x = 249,487,813.55
  5. Step 5: Solve for x
    x = 249,487,813.55/19,096.75
  6. Step 6: Final answer
    x = 13,064.41

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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.