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Finding the Fourth Proportional to 21,508.74, 29,682.27 and 12,433.41

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Solution

The fourth proportional to 21,508.74, 29,682.27 and 12,433.41 is: 17,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.74 : 29,682.27 = 12,433.41 : x
  2. Step 2: Convert to fraction form
    21,508.74/29,682.27 = 12,433.41/x
  3. Step 3: Cross multiply
    21,508.74x = 29,682.27 × 12,433.41
  4. Step 4: Simplify right side
    21,508.74x = 369,051,832.64
  5. Step 5: Solve for x
    x = 369,051,832.64/21,508.74
  6. Step 6: Final answer
    x = 17,158.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.