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Finding the Fourth Proportional to 19,723.80, 29,585.70 and 9,355.80

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Solution

The fourth proportional to 19,723.80, 29,585.70 and 9,355.80 is: 14,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.80 : 29,585.70 = 9,355.80 : x
  2. Step 2: Convert to fraction form
    19,723.80/29,585.70 = 9,355.80/x
  3. Step 3: Cross multiply
    19,723.80x = 29,585.70 × 9,355.80
  4. Step 4: Simplify right side
    19,723.80x = 276,797,892.06
  5. Step 5: Solve for x
    x = 276,797,892.06/19,723.80
  6. Step 6: Final answer
    x = 14,033.70

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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.