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Finding the Fourth Proportional to 21,218, 29,283.54 and 12,834.56

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Solution

The fourth proportional to 21,218, 29,283.54 and 12,834.56 is: 17,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218 : 29,283.54 = 12,834.56 : x
  2. Step 2: Convert to fraction form
    21,218/29,283.54 = 12,834.56/x
  3. Step 3: Cross multiply
    21,218x = 29,283.54 × 12,834.56
  4. Step 4: Simplify right side
    21,218x = 375,841,351.14
  5. Step 5: Solve for x
    x = 375,841,351.14/21,218
  6. Step 6: Final answer
    x = 17,713.33

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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.