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Finding the Fourth Proportional to 19,662.23, 29,497.72 and 7,182.23

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Solution

The fourth proportional to 19,662.23, 29,497.72 and 7,182.23 is: 10,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.23 : 29,497.72 = 7,182.23 : x
  2. Step 2: Convert to fraction form
    19,662.23/29,497.72 = 7,182.23/x
  3. Step 3: Cross multiply
    19,662.23x = 29,497.72 × 7,182.23
  4. Step 4: Simplify right side
    19,662.23x = 211,859,409.52
  5. Step 5: Solve for x
    x = 211,859,409.52/19,662.23
  6. Step 6: Final answer
    x = 10,774.94

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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.