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Finding the Fourth Proportional to 12,421.86, 17,144.64 and 7,120.26

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Solution

The fourth proportional to 12,421.86, 17,144.64 and 7,120.26 is: 9,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.86 : 17,144.64 = 7,120.26 : x
  2. Step 2: Convert to fraction form
    12,421.86/17,144.64 = 7,120.26/x
  3. Step 3: Cross multiply
    12,421.86x = 17,144.64 × 7,120.26
  4. Step 4: Simplify right side
    12,421.86x = 122,074,294.41
  5. Step 5: Solve for x
    x = 122,074,294.41/12,421.86
  6. Step 6: Final answer
    x = 9,827.38

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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.