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Finding the Fourth Proportional to 12,407.24, 18,594.44 and 9,104.84

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Solution

The fourth proportional to 12,407.24, 18,594.44 and 9,104.84 is: 13,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.24 : 18,594.44 = 9,104.84 : x
  2. Step 2: Convert to fraction form
    12,407.24/18,594.44 = 9,104.84/x
  3. Step 3: Cross multiply
    12,407.24x = 18,594.44 × 9,104.84
  4. Step 4: Simplify right side
    12,407.24x = 169,299,401.09
  5. Step 5: Solve for x
    x = 169,299,401.09/12,407.24
  6. Step 6: Final answer
    x = 13,645.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.