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Finding the Fourth Proportional to 19,522.61, 29,289.39 and 7,844.03

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Solution

The fourth proportional to 19,522.61, 29,289.39 and 7,844.03 is: 11,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,522.61 : 29,289.39 = 7,844.03 : x
  2. Step 2: Convert to fraction form
    19,522.61/29,289.39 = 7,844.03/x
  3. Step 3: Cross multiply
    19,522.61x = 29,289.39 × 7,844.03
  4. Step 4: Simplify right side
    19,522.61x = 229,746,853.84
  5. Step 5: Solve for x
    x = 229,746,853.84/19,522.61
  6. Step 6: Final answer
    x = 11,768.24

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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.