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Finding the Fourth Proportional to 11,594.09, 17,390.97 and 8,032.93

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Solution

The fourth proportional to 11,594.09, 17,390.97 and 8,032.93 is: 12,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.09 : 17,390.97 = 8,032.93 : x
  2. Step 2: Convert to fraction form
    11,594.09/17,390.97 = 8,032.93/x
  3. Step 3: Cross multiply
    11,594.09x = 17,390.97 × 8,032.93
  4. Step 4: Simplify right side
    11,594.09x = 139,700,401.16
  5. Step 5: Solve for x
    x = 139,700,401.16/11,594.09
  6. Step 6: Final answer
    x = 12,049.27

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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.