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Finding the Fourth Proportional to 14,594.14, 21,893.64 and 8,023.42

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Solution

The fourth proportional to 14,594.14, 21,893.64 and 8,023.42 is: 12,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.14 : 21,893.64 = 8,023.42 : x
  2. Step 2: Convert to fraction form
    14,594.14/21,893.64 = 8,023.42/x
  3. Step 3: Cross multiply
    14,594.14x = 21,893.64 × 8,023.42
  4. Step 4: Simplify right side
    14,594.14x = 175,661,869.05
  5. Step 5: Solve for x
    x = 175,661,869.05/14,594.14
  6. Step 6: Final answer
    x = 12,036.47

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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.