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Finding the Fourth Proportional to 34,133.84, 51,193.08 and 12,245.84

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Solution

The fourth proportional to 34,133.84, 51,193.08 and 12,245.84 is: 18,366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133.84 : 51,193.08 = 12,245.84 : x
  2. Step 2: Convert to fraction form
    34,133.84/51,193.08 = 12,245.84/x
  3. Step 3: Cross multiply
    34,133.84x = 51,193.08 × 12,245.84
  4. Step 4: Simplify right side
    34,133.84x = 626,902,266.79
  5. Step 5: Solve for x
    x = 626,902,266.79/34,133.84
  6. Step 6: Final answer
    x = 18,366.00

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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.