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Finding the Fourth Proportional to 21,537, 32,305.10 and 11,738.64

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Solution

The fourth proportional to 21,537, 32,305.10 and 11,738.64 is: 17,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537 : 32,305.10 = 11,738.64 : x
  2. Step 2: Convert to fraction form
    21,537/32,305.10 = 11,738.64/x
  3. Step 3: Cross multiply
    21,537x = 32,305.10 × 11,738.64
  4. Step 4: Simplify right side
    21,537x = 379,217,880.37
  5. Step 5: Solve for x
    x = 379,217,880.37/21,537
  6. Step 6: Final answer
    x = 17,607.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.