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Finding the Fourth Proportional to 13,415.42, 18,512.33 and 7,446.89

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Solution

The fourth proportional to 13,415.42, 18,512.33 and 7,446.89 is: 10,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.42 : 18,512.33 = 7,446.89 : x
  2. Step 2: Convert to fraction form
    13,415.42/18,512.33 = 7,446.89/x
  3. Step 3: Cross multiply
    13,415.42x = 18,512.33 × 7,446.89
  4. Step 4: Simplify right side
    13,415.42x = 137,859,155.36
  5. Step 5: Solve for x
    x = 137,859,155.36/13,415.42
  6. Step 6: Final answer
    x = 10,276.18

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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.