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Finding the Fourth Proportional to 13,121.31, 18,106.70 and 7,532.31

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Solution

The fourth proportional to 13,121.31, 18,106.70 and 7,532.31 is: 10,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.31 : 18,106.70 = 7,532.31 : x
  2. Step 2: Convert to fraction form
    13,121.31/18,106.70 = 7,532.31/x
  3. Step 3: Cross multiply
    13,121.31x = 18,106.70 × 7,532.31
  4. Step 4: Simplify right side
    13,121.31x = 136,385,239.82
  5. Step 5: Solve for x
    x = 136,385,239.82/13,121.31
  6. Step 6: Final answer
    x = 10,394.18

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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.