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Finding the Fourth Proportional to 13,224.85, 19,837.19 and 3,364

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Solution

The fourth proportional to 13,224.85, 19,837.19 and 3,364 is: 5,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.85 : 19,837.19 = 3,364 : x
  2. Step 2: Convert to fraction form
    13,224.85/19,837.19 = 3,364/x
  3. Step 3: Cross multiply
    13,224.85x = 19,837.19 × 3,364
  4. Step 4: Simplify right side
    13,224.85x = 66,732,290.34
  5. Step 5: Solve for x
    x = 66,732,290.34/13,224.85
  6. Step 6: Final answer
    x = 5,045.98

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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.