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Finding the Fourth Proportional to 14,281.38, 19,683.54 and 10,738.44

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Solution

The fourth proportional to 14,281.38, 19,683.54 and 10,738.44 is: 14,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.38 : 19,683.54 = 10,738.44 : x
  2. Step 2: Convert to fraction form
    14,281.38/19,683.54 = 10,738.44/x
  3. Step 3: Cross multiply
    14,281.38x = 19,683.54 × 10,738.44
  4. Step 4: Simplify right side
    14,281.38x = 211,370,513.28
  5. Step 5: Solve for x
    x = 211,370,513.28/14,281.38
  6. Step 6: Final answer
    x = 14,800.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.