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Finding the Fourth Proportional to 13,772.70, 19,009.38 and 9,057.42

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Solution

The fourth proportional to 13,772.70, 19,009.38 and 9,057.42 is: 12,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.70 : 19,009.38 = 9,057.42 : x
  2. Step 2: Convert to fraction form
    13,772.70/19,009.38 = 9,057.42/x
  3. Step 3: Cross multiply
    13,772.70x = 19,009.38 × 9,057.42
  4. Step 4: Simplify right side
    13,772.70x = 172,175,938.60
  5. Step 5: Solve for x
    x = 172,175,938.60/13,772.70
  6. Step 6: Final answer
    x = 12,501.25

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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.