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Finding the Fourth Proportional to 35,839.64, 53,760 and 12,466.88

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Solution

The fourth proportional to 35,839.64, 53,760 and 12,466.88 is: 18,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,839.64 : 53,760 = 12,466.88 : x
  2. Step 2: Convert to fraction form
    35,839.64/53,760 = 12,466.88/x
  3. Step 3: Cross multiply
    35,839.64x = 53,760 × 12,466.88
  4. Step 4: Simplify right side
    35,839.64x = 670,219,468.80
  5. Step 5: Solve for x
    x = 670,219,468.80/35,839.64
  6. Step 6: Final answer
    x = 18,700.51

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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.