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Finding the Fourth Proportional to 34,173.13, 51,254.96 and 9,214.67

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Solution

The fourth proportional to 34,173.13, 51,254.96 and 9,214.67 is: 13,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,173.13 : 51,254.96 = 9,214.67 : x
  2. Step 2: Convert to fraction form
    34,173.13/51,254.96 = 9,214.67/x
  3. Step 3: Cross multiply
    34,173.13x = 51,254.96 × 9,214.67
  4. Step 4: Simplify right side
    34,173.13x = 472,297,787.11
  5. Step 5: Solve for x
    x = 472,297,787.11/34,173.13
  6. Step 6: Final answer
    x = 13,820.74

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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.