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Finding the Fourth Proportional to 13,153.65, 18,146.05 and 7,772.41

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Solution

The fourth proportional to 13,153.65, 18,146.05 and 7,772.41 is: 10,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.65 : 18,146.05 = 7,772.41 : x
  2. Step 2: Convert to fraction form
    13,153.65/18,146.05 = 7,772.41/x
  3. Step 3: Cross multiply
    13,153.65x = 18,146.05 × 7,772.41
  4. Step 4: Simplify right side
    13,153.65x = 141,038,540.48
  5. Step 5: Solve for x
    x = 141,038,540.48/13,153.65
  6. Step 6: Final answer
    x = 10,722.39

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Why These Related Problems?

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