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Finding the Fourth Proportional to 12,419.15, 17,129.75 and 8,433.34

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Solution

The fourth proportional to 12,419.15, 17,129.75 and 8,433.34 is: 11,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.15 : 17,129.75 = 8,433.34 : x
  2. Step 2: Convert to fraction form
    12,419.15/17,129.75 = 8,433.34/x
  3. Step 3: Cross multiply
    12,419.15x = 17,129.75 × 8,433.34
  4. Step 4: Simplify right side
    12,419.15x = 144,460,920.87
  5. Step 5: Solve for x
    x = 144,460,920.87/12,419.15
  6. Step 6: Final answer
    x = 11,632.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.