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Finding the Fourth Proportional to 21,563.32, 32,301.76 and 9,860.44

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Solution

The fourth proportional to 21,563.32, 32,301.76 and 9,860.44 is: 14,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.32 : 32,301.76 = 9,860.44 : x
  2. Step 2: Convert to fraction form
    21,563.32/32,301.76 = 9,860.44/x
  3. Step 3: Cross multiply
    21,563.32x = 32,301.76 × 9,860.44
  4. Step 4: Simplify right side
    21,563.32x = 318,509,566.37
  5. Step 5: Solve for x
    x = 318,509,566.37/21,563.32
  6. Step 6: Final answer
    x = 14,770.90

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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.