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Finding the Fourth Proportional to 14,596.29, 21,892.50 and 4,067.10

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Solution

The fourth proportional to 14,596.29, 21,892.50 and 4,067.10 is: 6,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.29 : 21,892.50 = 4,067.10 : x
  2. Step 2: Convert to fraction form
    14,596.29/21,892.50 = 4,067.10/x
  3. Step 3: Cross multiply
    14,596.29x = 21,892.50 × 4,067.10
  4. Step 4: Simplify right side
    14,596.29x = 89,038,986.75
  5. Step 5: Solve for x
    x = 89,038,986.75/14,596.29
  6. Step 6: Final answer
    x = 6,100.11

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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.