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Finding the Fourth Proportional to 21,219.84, 31,674 and 19,656

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Solution

The fourth proportional to 21,219.84, 31,674 and 19,656 is: 29,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.84 : 31,674 = 19,656 : x
  2. Step 2: Convert to fraction form
    21,219.84/31,674 = 19,656/x
  3. Step 3: Cross multiply
    21,219.84x = 31,674 × 19,656
  4. Step 4: Simplify right side
    21,219.84x = 622,584,144
  5. Step 5: Solve for x
    x = 622,584,144/21,219.84
  6. Step 6: Final answer
    x = 29,339.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.