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Finding the Fourth Proportional to 34,253.69, 51,389.50 and 14,533.05

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Solution

The fourth proportional to 34,253.69, 51,389.50 and 14,533.05 is: 21,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253.69 : 51,389.50 = 14,533.05 : x
  2. Step 2: Convert to fraction form
    34,253.69/51,389.50 = 14,533.05/x
  3. Step 3: Cross multiply
    34,253.69x = 51,389.50 × 14,533.05
  4. Step 4: Simplify right side
    34,253.69x = 746,846,100.31
  5. Step 5: Solve for x
    x = 746,846,100.31/34,253.69
  6. Step 6: Final answer
    x = 21,803.38

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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.