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Finding the Fourth Proportional to 17,804.78, 24,570.17 and 9,846.83

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Solution

The fourth proportional to 17,804.78, 24,570.17 and 9,846.83 is: 13,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.78 : 24,570.17 = 9,846.83 : x
  2. Step 2: Convert to fraction form
    17,804.78/24,570.17 = 9,846.83/x
  3. Step 3: Cross multiply
    17,804.78x = 24,570.17 × 9,846.83
  4. Step 4: Simplify right side
    17,804.78x = 241,938,114.98
  5. Step 5: Solve for x
    x = 241,938,114.98/17,804.78
  6. Step 6: Final answer
    x = 13,588.38

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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.