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Finding the Fourth Proportional to 14,357.25, 19,812.81 and 8,069.64

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Solution

The fourth proportional to 14,357.25, 19,812.81 and 8,069.64 is: 11,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.25 : 19,812.81 = 8,069.64 : x
  2. Step 2: Convert to fraction form
    14,357.25/19,812.81 = 8,069.64/x
  3. Step 3: Cross multiply
    14,357.25x = 19,812.81 × 8,069.64
  4. Step 4: Simplify right side
    14,357.25x = 159,882,244.09
  5. Step 5: Solve for x
    x = 159,882,244.09/14,357.25
  6. Step 6: Final answer
    x = 11,135.99

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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.