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Finding the Fourth Proportional to 21,840.40, 32,809.20 and 21,257.20

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Solution

The fourth proportional to 21,840.40, 32,809.20 and 21,257.20 is: 31,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.40 : 32,809.20 = 21,257.20 : x
  2. Step 2: Convert to fraction form
    21,840.40/32,809.20 = 21,257.20/x
  3. Step 3: Cross multiply
    21,840.40x = 32,809.20 × 21,257.20
  4. Step 4: Simplify right side
    21,840.40x = 697,431,726.24
  5. Step 5: Solve for x
    x = 697,431,726.24/21,840.40
  6. Step 6: Final answer
    x = 31,933.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.