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Finding the Fourth Proportional to 30,677.88, 46,021.68 and 9,896.52

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Solution

The fourth proportional to 30,677.88, 46,021.68 and 9,896.52 is: 14,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.88 : 46,021.68 = 9,896.52 : x
  2. Step 2: Convert to fraction form
    30,677.88/46,021.68 = 9,896.52/x
  3. Step 3: Cross multiply
    30,677.88x = 46,021.68 × 9,896.52
  4. Step 4: Simplify right side
    30,677.88x = 455,454,476.55
  5. Step 5: Solve for x
    x = 455,454,476.55/30,677.88
  6. Step 6: Final answer
    x = 14,846.35

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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.