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Finding the Fourth Proportional to 14,574.61, 20,107.92 and 8,200.19

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Solution

The fourth proportional to 14,574.61, 20,107.92 and 8,200.19 is: 11,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,574.61 : 20,107.92 = 8,200.19 : x
  2. Step 2: Convert to fraction form
    14,574.61/20,107.92 = 8,200.19/x
  3. Step 3: Cross multiply
    14,574.61x = 20,107.92 × 8,200.19
  4. Step 4: Simplify right side
    14,574.61x = 164,888,709.36
  5. Step 5: Solve for x
    x = 164,888,709.36/14,574.61
  6. Step 6: Final answer
    x = 11,313.42

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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.