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Finding the Fourth Proportional to 30,666.25, 46,006.67 and 9,889.75

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Solution

The fourth proportional to 30,666.25, 46,006.67 and 9,889.75 is: 14,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.25 : 46,006.67 = 9,889.75 : x
  2. Step 2: Convert to fraction form
    30,666.25/46,006.67 = 9,889.75/x
  3. Step 3: Cross multiply
    30,666.25x = 46,006.67 × 9,889.75
  4. Step 4: Simplify right side
    30,666.25x = 454,994,464.63
  5. Step 5: Solve for x
    x = 454,994,464.63/30,666.25
  6. Step 6: Final answer
    x = 14,836.98

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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.