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Finding the Fourth Proportional to 21,972.35, 30,323.71 and 12,414.00

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Solution

The fourth proportional to 21,972.35, 30,323.71 and 12,414.00 is: 17,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.35 : 30,323.71 = 12,414.00 : x
  2. Step 2: Convert to fraction form
    21,972.35/30,323.71 = 12,414.00/x
  3. Step 3: Cross multiply
    21,972.35x = 30,323.71 × 12,414.00
  4. Step 4: Simplify right side
    21,972.35x = 376,438,437.74
  5. Step 5: Solve for x
    x = 376,438,437.74/21,972.35
  6. Step 6: Final answer
    x = 17,132.37

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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.