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Finding the Fourth Proportional to 29,698.84, 40,984.48 and 16,270.66

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Solution

The fourth proportional to 29,698.84, 40,984.48 and 16,270.66 is: 22,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.84 : 40,984.48 = 16,270.66 : x
  2. Step 2: Convert to fraction form
    29,698.84/40,984.48 = 16,270.66/x
  3. Step 3: Cross multiply
    29,698.84x = 40,984.48 × 16,270.66
  4. Step 4: Simplify right side
    29,698.84x = 666,844,539.36
  5. Step 5: Solve for x
    x = 666,844,539.36/29,698.84
  6. Step 6: Final answer
    x = 22,453.56

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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.