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Finding the Fourth Proportional to 21,466.20, 32,156.04 and 13,647

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Solution

The fourth proportional to 21,466.20, 32,156.04 and 13,647 is: 20,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.20 : 32,156.04 = 13,647 : x
  2. Step 2: Convert to fraction form
    21,466.20/32,156.04 = 13,647/x
  3. Step 3: Cross multiply
    21,466.20x = 32,156.04 × 13,647
  4. Step 4: Simplify right side
    21,466.20x = 438,833,477.88
  5. Step 5: Solve for x
    x = 438,833,477.88/21,466.20
  6. Step 6: Final answer
    x = 20,443.00

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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.