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Finding the Fourth Proportional to 19,813.57, 29,724.24 and 7,333.70

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Solution

The fourth proportional to 19,813.57, 29,724.24 and 7,333.70 is: 11,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.57 : 29,724.24 = 7,333.70 : x
  2. Step 2: Convert to fraction form
    19,813.57/29,724.24 = 7,333.70/x
  3. Step 3: Cross multiply
    19,813.57x = 29,724.24 × 7,333.70
  4. Step 4: Simplify right side
    19,813.57x = 217,988,684.34
  5. Step 5: Solve for x
    x = 217,988,684.34/19,813.57
  6. Step 6: Final answer
    x = 11,001.99

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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.