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Finding the Fourth Proportional to 21,431.64, 29,575 and 11,871.15

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Solution

The fourth proportional to 21,431.64, 29,575 and 11,871.15 is: 16,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.64 : 29,575 = 11,871.15 : x
  2. Step 2: Convert to fraction form
    21,431.64/29,575 = 11,871.15/x
  3. Step 3: Cross multiply
    21,431.64x = 29,575 × 11,871.15
  4. Step 4: Simplify right side
    21,431.64x = 351,089,261.25
  5. Step 5: Solve for x
    x = 351,089,261.25/21,431.64
  6. Step 6: Final answer
    x = 16,381.82

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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.