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Finding the Fourth Proportional to 14,662.98, 21,938.58 and 12,893.94

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Solution

The fourth proportional to 14,662.98, 21,938.58 and 12,893.94 is: 19,291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.98 : 21,938.58 = 12,893.94 : x
  2. Step 2: Convert to fraction form
    14,662.98/21,938.58 = 12,893.94/x
  3. Step 3: Cross multiply
    14,662.98x = 21,938.58 × 12,893.94
  4. Step 4: Simplify right side
    14,662.98x = 282,874,734.21
  5. Step 5: Solve for x
    x = 282,874,734.21/14,662.98
  6. Step 6: Final answer
    x = 19,291.76

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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.