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Finding the Fourth Proportional to 34,546.66, 51,820.12 and 9,588.66

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Solution

The fourth proportional to 34,546.66, 51,820.12 and 9,588.66 is: 14,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,546.66 : 51,820.12 = 9,588.66 : x
  2. Step 2: Convert to fraction form
    34,546.66/51,820.12 = 9,588.66/x
  3. Step 3: Cross multiply
    34,546.66x = 51,820.12 × 9,588.66
  4. Step 4: Simplify right side
    34,546.66x = 496,885,511.84
  5. Step 5: Solve for x
    x = 496,885,511.84/34,546.66
  6. Step 6: Final answer
    x = 14,383.03

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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.