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Finding the Fourth Proportional to 14,533.54, 21,811.31 and 5,769.20

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Solution

The fourth proportional to 14,533.54, 21,811.31 and 5,769.20 is: 8,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.54 : 21,811.31 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    14,533.54/21,811.31 = 5,769.20/x
  3. Step 3: Cross multiply
    14,533.54x = 21,811.31 × 5,769.20
  4. Step 4: Simplify right side
    14,533.54x = 125,833,809.65
  5. Step 5: Solve for x
    x = 125,833,809.65/14,533.54
  6. Step 6: Final answer
    x = 8,658.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.