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Finding the Fourth Proportional to 21,682.56, 32,498.64 and 14,285.28

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Solution

The fourth proportional to 21,682.56, 32,498.64 and 14,285.28 is: 21,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.56 : 32,498.64 = 14,285.28 : x
  2. Step 2: Convert to fraction form
    21,682.56/32,498.64 = 14,285.28/x
  3. Step 3: Cross multiply
    21,682.56x = 32,498.64 × 14,285.28
  4. Step 4: Simplify right side
    21,682.56x = 464,252,172.02
  5. Step 5: Solve for x
    x = 464,252,172.02/21,682.56
  6. Step 6: Final answer
    x = 21,411.32

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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.