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Finding the Fourth Proportional to 19,583.58, 29,404.53 and 7,919.58

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Solution

The fourth proportional to 19,583.58, 29,404.53 and 7,919.58 is: 11,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583.58 : 29,404.53 = 7,919.58 : x
  2. Step 2: Convert to fraction form
    19,583.58/29,404.53 = 7,919.58/x
  3. Step 3: Cross multiply
    19,583.58x = 29,404.53 × 7,919.58
  4. Step 4: Simplify right side
    19,583.58x = 232,871,527.70
  5. Step 5: Solve for x
    x = 232,871,527.70/19,583.58
  6. Step 6: Final answer
    x = 11,891.16

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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.