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Finding the Fourth Proportional to 21,852.38, 30,270.49 and 21,409.51

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Solution

The fourth proportional to 21,852.38, 30,270.49 and 21,409.51 is: 29,657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.38 : 30,270.49 = 21,409.51 : x
  2. Step 2: Convert to fraction form
    21,852.38/30,270.49 = 21,409.51/x
  3. Step 3: Cross multiply
    21,852.38x = 30,270.49 × 21,409.51
  4. Step 4: Simplify right side
    21,852.38x = 648,076,358.36
  5. Step 5: Solve for x
    x = 648,076,358.36/21,852.38
  6. Step 6: Final answer
    x = 29,657.01

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.