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Finding the Fourth Proportional to 21,563.28, 32,335 and 11,182.32

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Solution

The fourth proportional to 21,563.28, 32,335 and 11,182.32 is: 16,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.28 : 32,335 = 11,182.32 : x
  2. Step 2: Convert to fraction form
    21,563.28/32,335 = 11,182.32/x
  3. Step 3: Cross multiply
    21,563.28x = 32,335 × 11,182.32
  4. Step 4: Simplify right side
    21,563.28x = 361,580,317.20
  5. Step 5: Solve for x
    x = 361,580,317.20/21,563.28
  6. Step 6: Final answer
    x = 16,768.34

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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.