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Finding the Fourth Proportional to 21,362.40, 29,478.12 and 12,409.78

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Solution

The fourth proportional to 21,362.40, 29,478.12 and 12,409.78 is: 17,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362.40 : 29,478.12 = 12,409.78 : x
  2. Step 2: Convert to fraction form
    21,362.40/29,478.12 = 12,409.78/x
  3. Step 3: Cross multiply
    21,362.40x = 29,478.12 × 12,409.78
  4. Step 4: Simplify right side
    21,362.40x = 365,816,836.62
  5. Step 5: Solve for x
    x = 365,816,836.62/21,362.40
  6. Step 6: Final answer
    x = 17,124.33

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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.