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Finding the Fourth Proportional to 21,200.16, 31,739.76 and 16,824

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Solution

The fourth proportional to 21,200.16, 31,739.76 and 16,824 is: 25,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.16 : 31,739.76 = 16,824 : x
  2. Step 2: Convert to fraction form
    21,200.16/31,739.76 = 16,824/x
  3. Step 3: Cross multiply
    21,200.16x = 31,739.76 × 16,824
  4. Step 4: Simplify right side
    21,200.16x = 533,989,722.24
  5. Step 5: Solve for x
    x = 533,989,722.24/21,200.16
  6. Step 6: Final answer
    x = 25,188.00

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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.