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Finding the Fourth Proportional to 13,590.46, 18,754.74 and 8,284.96

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Solution

The fourth proportional to 13,590.46, 18,754.74 and 8,284.96 is: 11,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.46 : 18,754.74 = 8,284.96 : x
  2. Step 2: Convert to fraction form
    13,590.46/18,754.74 = 8,284.96/x
  3. Step 3: Cross multiply
    13,590.46x = 18,754.74 × 8,284.96
  4. Step 4: Simplify right side
    13,590.46x = 155,382,270.71
  5. Step 5: Solve for x
    x = 155,382,270.71/13,590.46
  6. Step 6: Final answer
    x = 11,433.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.