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Finding the Fourth Proportional to 21,284.48, 29,374.24 and 11,856

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Solution

The fourth proportional to 21,284.48, 29,374.24 and 11,856 is: 16,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.48 : 29,374.24 = 11,856 : x
  2. Step 2: Convert to fraction form
    21,284.48/29,374.24 = 11,856/x
  3. Step 3: Cross multiply
    21,284.48x = 29,374.24 × 11,856
  4. Step 4: Simplify right side
    21,284.48x = 348,260,989.44
  5. Step 5: Solve for x
    x = 348,260,989.44/21,284.48
  6. Step 6: Final answer
    x = 16,362.20

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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.