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Finding the Fourth Proportional to 21,345, 29,409.46 and 15,945

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Solution

The fourth proportional to 21,345, 29,409.46 and 15,945 is: 21,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345 : 29,409.46 = 15,945 : x
  2. Step 2: Convert to fraction form
    21,345/29,409.46 = 15,945/x
  3. Step 3: Cross multiply
    21,345x = 29,409.46 × 15,945
  4. Step 4: Simplify right side
    21,345x = 468,933,839.70
  5. Step 5: Solve for x
    x = 468,933,839.70/21,345
  6. Step 6: Final answer
    x = 21,969.26

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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.