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Finding the Fourth Proportional to 34,333.12, 51,505.08 and 10,954

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Solution

The fourth proportional to 34,333.12, 51,505.08 and 10,954 is: 16,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,333.12 : 51,505.08 = 10,954 : x
  2. Step 2: Convert to fraction form
    34,333.12/51,505.08 = 10,954/x
  3. Step 3: Cross multiply
    34,333.12x = 51,505.08 × 10,954
  4. Step 4: Simplify right side
    34,333.12x = 564,186,646.32
  5. Step 5: Solve for x
    x = 564,186,646.32/34,333.12
  6. Step 6: Final answer
    x = 16,432.72

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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.