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Finding the Fourth Proportional to 14,782.41, 20,400.17 and 8,068.48

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Solution

The fourth proportional to 14,782.41, 20,400.17 and 8,068.48 is: 11,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.41 : 20,400.17 = 8,068.48 : x
  2. Step 2: Convert to fraction form
    14,782.41/20,400.17 = 8,068.48/x
  3. Step 3: Cross multiply
    14,782.41x = 20,400.17 × 8,068.48
  4. Step 4: Simplify right side
    14,782.41x = 164,598,383.81
  5. Step 5: Solve for x
    x = 164,598,383.81/14,782.41
  6. Step 6: Final answer
    x = 11,134.74

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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.