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Finding the Fourth Proportional to 26,437, 39,655.50 and 10,021

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Solution

The fourth proportional to 26,437, 39,655.50 and 10,021 is: 15,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,437 : 39,655.50 = 10,021 : x
  2. Step 2: Convert to fraction form
    26,437/39,655.50 = 10,021/x
  3. Step 3: Cross multiply
    26,437x = 39,655.50 × 10,021
  4. Step 4: Simplify right side
    26,437x = 397,387,765.50
  5. Step 5: Solve for x
    x = 397,387,765.50/26,437
  6. Step 6: Final answer
    x = 15,031.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.