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Finding the Fourth Proportional to 34,818.84, 52,234.74 and 11,461.68

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Solution

The fourth proportional to 34,818.84, 52,234.74 and 11,461.68 is: 17,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,818.84 : 52,234.74 = 11,461.68 : x
  2. Step 2: Convert to fraction form
    34,818.84/52,234.74 = 11,461.68/x
  3. Step 3: Cross multiply
    34,818.84x = 52,234.74 × 11,461.68
  4. Step 4: Simplify right side
    34,818.84x = 598,697,874.76
  5. Step 5: Solve for x
    x = 598,697,874.76/34,818.84
  6. Step 6: Final answer
    x = 17,194.65

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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.