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Finding the Fourth Proportional to 14,316.58, 19,754.72 and 8,183.84

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Solution

The fourth proportional to 14,316.58, 19,754.72 and 8,183.84 is: 11,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.58 : 19,754.72 = 8,183.84 : x
  2. Step 2: Convert to fraction form
    14,316.58/19,754.72 = 8,183.84/x
  3. Step 3: Cross multiply
    14,316.58x = 19,754.72 × 8,183.84
  4. Step 4: Simplify right side
    14,316.58x = 161,669,467.72
  5. Step 5: Solve for x
    x = 161,669,467.72/14,316.58
  6. Step 6: Final answer
    x = 11,292.46

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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.