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Finding the Fourth Proportional to 21,730.25, 29,989.57 and 13,769.57

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Solution

The fourth proportional to 21,730.25, 29,989.57 and 13,769.57 is: 19,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.25 : 29,989.57 = 13,769.57 : x
  2. Step 2: Convert to fraction form
    21,730.25/29,989.57 = 13,769.57/x
  3. Step 3: Cross multiply
    21,730.25x = 29,989.57 × 13,769.57
  4. Step 4: Simplify right side
    21,730.25x = 412,943,483.38
  5. Step 5: Solve for x
    x = 412,943,483.38/21,730.25
  6. Step 6: Final answer
    x = 19,003.16

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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.