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Finding the Fourth Proportional to 12,325.09, 17,008.38 and 7,221.86

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Solution

The fourth proportional to 12,325.09, 17,008.38 and 7,221.86 is: 9,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.09 : 17,008.38 = 7,221.86 : x
  2. Step 2: Convert to fraction form
    12,325.09/17,008.38 = 7,221.86/x
  3. Step 3: Cross multiply
    12,325.09x = 17,008.38 × 7,221.86
  4. Step 4: Simplify right side
    12,325.09x = 122,832,139.19
  5. Step 5: Solve for x
    x = 122,832,139.19/12,325.09
  6. Step 6: Final answer
    x = 9,966.02

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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.