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Finding the Fourth Proportional to 21,314.84, 29,415.74 and 11,883.40

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Solution

The fourth proportional to 21,314.84, 29,415.74 and 11,883.40 is: 16,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.84 : 29,415.74 = 11,883.40 : x
  2. Step 2: Convert to fraction form
    21,314.84/29,415.74 = 11,883.40/x
  3. Step 3: Cross multiply
    21,314.84x = 29,415.74 × 11,883.40
  4. Step 4: Simplify right side
    21,314.84x = 349,559,004.72
  5. Step 5: Solve for x
    x = 349,559,004.72/21,314.84
  6. Step 6: Final answer
    x = 16,399.79

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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.