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Finding the Fourth Proportional to 12,513.46, 18,770.17 and 7,584.51

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Solution

The fourth proportional to 12,513.46, 18,770.17 and 7,584.51 is: 11,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.46 : 18,770.17 = 7,584.51 : x
  2. Step 2: Convert to fraction form
    12,513.46/18,770.17 = 7,584.51/x
  3. Step 3: Cross multiply
    12,513.46x = 18,770.17 × 7,584.51
  4. Step 4: Simplify right side
    12,513.46x = 142,362,542.07
  5. Step 5: Solve for x
    x = 142,362,542.07/12,513.46
  6. Step 6: Final answer
    x = 11,376.75

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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.