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Finding the Fourth Proportional to 14,627.67, 21,941.48 and 4,766.93

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Solution

The fourth proportional to 14,627.67, 21,941.48 and 4,766.93 is: 7,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.67 : 21,941.48 = 4,766.93 : x
  2. Step 2: Convert to fraction form
    14,627.67/21,941.48 = 4,766.93/x
  3. Step 3: Cross multiply
    14,627.67x = 21,941.48 × 4,766.93
  4. Step 4: Simplify right side
    14,627.67x = 104,593,499.26
  5. Step 5: Solve for x
    x = 104,593,499.26/14,627.67
  6. Step 6: Final answer
    x = 7,150.39

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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.