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Finding the Fourth Proportional to 26,013, 35,886.50 and 15,252.38

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Solution

The fourth proportional to 26,013, 35,886.50 and 15,252.38 is: 21,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,013 : 35,886.50 = 15,252.38 : x
  2. Step 2: Convert to fraction form
    26,013/35,886.50 = 15,252.38/x
  3. Step 3: Cross multiply
    26,013x = 35,886.50 × 15,252.38
  4. Step 4: Simplify right side
    26,013x = 547,354,534.87
  5. Step 5: Solve for x
    x = 547,354,534.87/26,013
  6. Step 6: Final answer
    x = 21,041.58

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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.