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Finding the Fourth Proportional to 19,589.45, 29,384.03 and 7,902.50

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Solution

The fourth proportional to 19,589.45, 29,384.03 and 7,902.50 is: 11,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.45 : 29,384.03 = 7,902.50 : x
  2. Step 2: Convert to fraction form
    19,589.45/29,384.03 = 7,902.50/x
  3. Step 3: Cross multiply
    19,589.45x = 29,384.03 × 7,902.50
  4. Step 4: Simplify right side
    19,589.45x = 232,207,169.91
  5. Step 5: Solve for x
    x = 232,207,169.91/19,589.45
  6. Step 6: Final answer
    x = 11,853.69

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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.