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Finding the Fourth Proportional to 27,438.96, 37,866.48 and 16,822.48

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Solution

The fourth proportional to 27,438.96, 37,866.48 and 16,822.48 is: 23,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.96 : 37,866.48 = 16,822.48 : x
  2. Step 2: Convert to fraction form
    27,438.96/37,866.48 = 16,822.48/x
  3. Step 3: Cross multiply
    27,438.96x = 37,866.48 × 16,822.48
  4. Step 4: Simplify right side
    27,438.96x = 637,008,102.47
  5. Step 5: Solve for x
    x = 637,008,102.47/27,438.96
  6. Step 6: Final answer
    x = 23,215.46

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1.5x scale

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.