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Finding the Fourth Proportional to 17,541.39, 24,206.40 and 9,583.89

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Solution

The fourth proportional to 17,541.39, 24,206.40 and 9,583.89 is: 13,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.39 : 24,206.40 = 9,583.89 : x
  2. Step 2: Convert to fraction form
    17,541.39/24,206.40 = 9,583.89/x
  3. Step 3: Cross multiply
    17,541.39x = 24,206.40 × 9,583.89
  4. Step 4: Simplify right side
    17,541.39x = 231,991,474.90
  5. Step 5: Solve for x
    x = 231,991,474.90/17,541.39
  6. Step 6: Final answer
    x = 13,225.38

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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.