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Finding the Fourth Proportional to 14,469.90, 19,967.76 and 8,182.14

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Solution

The fourth proportional to 14,469.90, 19,967.76 and 8,182.14 is: 11,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.90 : 19,967.76 = 8,182.14 : x
  2. Step 2: Convert to fraction form
    14,469.90/19,967.76 = 8,182.14/x
  3. Step 3: Cross multiply
    14,469.90x = 19,967.76 × 8,182.14
  4. Step 4: Simplify right side
    14,469.90x = 163,379,007.81
  5. Step 5: Solve for x
    x = 163,379,007.81/14,469.90
  6. Step 6: Final answer
    x = 11,290.96

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1.5x scale

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.