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Finding the Fourth Proportional to 14,604.60, 21,917.70 and 9,672.60

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Solution

The fourth proportional to 14,604.60, 21,917.70 and 9,672.60 is: 14,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.60 : 21,917.70 = 9,672.60 : x
  2. Step 2: Convert to fraction form
    14,604.60/21,917.70 = 9,672.60/x
  3. Step 3: Cross multiply
    14,604.60x = 21,917.70 × 9,672.60
  4. Step 4: Simplify right side
    14,604.60x = 212,001,145.02
  5. Step 5: Solve for x
    x = 212,001,145.02/14,604.60
  6. Step 6: Final answer
    x = 14,516.05

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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.