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Finding the Fourth Proportional to 14,693.53, 20,278.32 and 8,321.24

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Solution

The fourth proportional to 14,693.53, 20,278.32 and 8,321.24 is: 11,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.53 : 20,278.32 = 8,321.24 : x
  2. Step 2: Convert to fraction form
    14,693.53/20,278.32 = 8,321.24/x
  3. Step 3: Cross multiply
    14,693.53x = 20,278.32 × 8,321.24
  4. Step 4: Simplify right side
    14,693.53x = 168,740,864.36
  5. Step 5: Solve for x
    x = 168,740,864.36/14,693.53
  6. Step 6: Final answer
    x = 11,484.03

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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.