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Finding the Fourth Proportional to 14,164.50, 21,246.74 and 6,746.48

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Solution

The fourth proportional to 14,164.50, 21,246.74 and 6,746.48 is: 10,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.50 : 21,246.74 = 6,746.48 : x
  2. Step 2: Convert to fraction form
    14,164.50/21,246.74 = 6,746.48/x
  3. Step 3: Cross multiply
    14,164.50x = 21,246.74 × 6,746.48
  4. Step 4: Simplify right side
    14,164.50x = 143,340,706.48
  5. Step 5: Solve for x
    x = 143,340,706.48/14,164.50
  6. Step 6: Final answer
    x = 10,119.72

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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.