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Finding the Fourth Proportional to 23,501.49, 32,431.50 and 12,891.03

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Solution

The fourth proportional to 23,501.49, 32,431.50 and 12,891.03 is: 17,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501.49 : 32,431.50 = 12,891.03 : x
  2. Step 2: Convert to fraction form
    23,501.49/32,431.50 = 12,891.03/x
  3. Step 3: Cross multiply
    23,501.49x = 32,431.50 × 12,891.03
  4. Step 4: Simplify right side
    23,501.49x = 418,075,439.45
  5. Step 5: Solve for x
    x = 418,075,439.45/23,501.49
  6. Step 6: Final answer
    x = 17,789.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.