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Finding the Fourth Proportional to 14,682.24, 20,260.48 and 8,394.24

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Solution

The fourth proportional to 14,682.24, 20,260.48 and 8,394.24 is: 11,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.24 : 20,260.48 = 8,394.24 : x
  2. Step 2: Convert to fraction form
    14,682.24/20,260.48 = 8,394.24/x
  3. Step 3: Cross multiply
    14,682.24x = 20,260.48 × 8,394.24
  4. Step 4: Simplify right side
    14,682.24x = 170,071,331.64
  5. Step 5: Solve for x
    x = 170,071,331.64/14,682.24
  6. Step 6: Final answer
    x = 11,583.47

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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.