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Finding the Fourth Proportional to 30,843.23, 46,266.65 and 9,782.87

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Solution

The fourth proportional to 30,843.23, 46,266.65 and 9,782.87 is: 14,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.23 : 46,266.65 = 9,782.87 : x
  2. Step 2: Convert to fraction form
    30,843.23/46,266.65 = 9,782.87/x
  3. Step 3: Cross multiply
    30,843.23x = 46,266.65 × 9,782.87
  4. Step 4: Simplify right side
    30,843.23x = 452,620,415.41
  5. Step 5: Solve for x
    x = 452,620,415.41/30,843.23
  6. Step 6: Final answer
    x = 14,674.87

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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.