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Finding the Fourth Proportional to 12,314.67, 18,475.93 and 4,411.85

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Solution

The fourth proportional to 12,314.67, 18,475.93 and 4,411.85 is: 6,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.67 : 18,475.93 = 4,411.85 : x
  2. Step 2: Convert to fraction form
    12,314.67/18,475.93 = 4,411.85/x
  3. Step 3: Cross multiply
    12,314.67x = 18,475.93 × 4,411.85
  4. Step 4: Simplify right side
    12,314.67x = 81,512,950.42
  5. Step 5: Solve for x
    x = 81,512,950.42/12,314.67
  6. Step 6: Final answer
    x = 6,619.18

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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.