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Finding the Fourth Proportional to 24,242, 33,441 and 16,270.52

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Solution

The fourth proportional to 24,242, 33,441 and 16,270.52 is: 22,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242 : 33,441 = 16,270.52 : x
  2. Step 2: Convert to fraction form
    24,242/33,441 = 16,270.52/x
  3. Step 3: Cross multiply
    24,242x = 33,441 × 16,270.52
  4. Step 4: Simplify right side
    24,242x = 544,102,459.32
  5. Step 5: Solve for x
    x = 544,102,459.32/24,242
  6. Step 6: Final answer
    x = 22,444.62

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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.