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Finding the Fourth Proportional to 17,762.42, 24,512 and 9,804.65

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Solution

The fourth proportional to 17,762.42, 24,512 and 9,804.65 is: 13,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.42 : 24,512 = 9,804.65 : x
  2. Step 2: Convert to fraction form
    17,762.42/24,512 = 9,804.65/x
  3. Step 3: Cross multiply
    17,762.42x = 24,512 × 9,804.65
  4. Step 4: Simplify right side
    17,762.42x = 240,331,458.24
  5. Step 5: Solve for x
    x = 240,331,458.24/17,762.42
  6. Step 6: Final answer
    x = 13,530.33

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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.