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Finding the Fourth Proportional to 34,096.16, 51,151.20 and 14,374.68

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Solution

The fourth proportional to 34,096.16, 51,151.20 and 14,374.68 is: 21,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096.16 : 51,151.20 = 14,374.68 : x
  2. Step 2: Convert to fraction form
    34,096.16/51,151.20 = 14,374.68/x
  3. Step 3: Cross multiply
    34,096.16x = 51,151.20 × 14,374.68
  4. Step 4: Simplify right side
    34,096.16x = 735,282,131.62
  5. Step 5: Solve for x
    x = 735,282,131.62/34,096.16
  6. Step 6: Final answer
    x = 21,564.95

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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.