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Finding the Fourth Proportional to 19,454.36, 29,182.68 and 5,603

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Solution

The fourth proportional to 19,454.36, 29,182.68 and 5,603 is: 8,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.36 : 29,182.68 = 5,603 : x
  2. Step 2: Convert to fraction form
    19,454.36/29,182.68 = 5,603/x
  3. Step 3: Cross multiply
    19,454.36x = 29,182.68 × 5,603
  4. Step 4: Simplify right side
    19,454.36x = 163,510,556.04
  5. Step 5: Solve for x
    x = 163,510,556.04/19,454.36
  6. Step 6: Final answer
    x = 8,404.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.