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Finding the Fourth Proportional to 34,884.66, 52,326.45 and 8,589.63

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Solution

The fourth proportional to 34,884.66, 52,326.45 and 8,589.63 is: 12,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,884.66 : 52,326.45 = 8,589.63 : x
  2. Step 2: Convert to fraction form
    34,884.66/52,326.45 = 8,589.63/x
  3. Step 3: Cross multiply
    34,884.66x = 52,326.45 × 8,589.63
  4. Step 4: Simplify right side
    34,884.66x = 449,464,844.71
  5. Step 5: Solve for x
    x = 449,464,844.71/34,884.66
  6. Step 6: Final answer
    x = 12,884.31

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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.