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Finding the Fourth Proportional to 21,056.89, 29,057.26 and 11,494.87

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Solution

The fourth proportional to 21,056.89, 29,057.26 and 11,494.87 is: 15,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.89 : 29,057.26 = 11,494.87 : x
  2. Step 2: Convert to fraction form
    21,056.89/29,057.26 = 11,494.87/x
  3. Step 3: Cross multiply
    21,056.89x = 29,057.26 × 11,494.87
  4. Step 4: Simplify right side
    21,056.89x = 334,009,433.84
  5. Step 5: Solve for x
    x = 334,009,433.84/21,056.89
  6. Step 6: Final answer
    x = 15,862.24

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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.