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Finding the Fourth Proportional to 12,775.46, 19,161.74 and 3,416.21

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Solution

The fourth proportional to 12,775.46, 19,161.74 and 3,416.21 is: 5,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.46 : 19,161.74 = 3,416.21 : x
  2. Step 2: Convert to fraction form
    12,775.46/19,161.74 = 3,416.21/x
  3. Step 3: Cross multiply
    12,775.46x = 19,161.74 × 3,416.21
  4. Step 4: Simplify right side
    12,775.46x = 65,460,531.40
  5. Step 5: Solve for x
    x = 65,460,531.40/12,775.46
  6. Step 6: Final answer
    x = 5,123.93

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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.