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Finding the Fourth Proportional to 14,494.15, 21,746.41 and 8,941.03

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Solution

The fourth proportional to 14,494.15, 21,746.41 and 8,941.03 is: 13,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.15 : 21,746.41 = 8,941.03 : x
  2. Step 2: Convert to fraction form
    14,494.15/21,746.41 = 8,941.03/x
  3. Step 3: Cross multiply
    14,494.15x = 21,746.41 × 8,941.03
  4. Step 4: Simplify right side
    14,494.15x = 194,435,387.53
  5. Step 5: Solve for x
    x = 194,435,387.53/14,494.15
  6. Step 6: Final answer
    x = 13,414.75

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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.