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Finding the Fourth Proportional to 23,576.09, 32,534.09 and 12,965.09

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Solution

The fourth proportional to 23,576.09, 32,534.09 and 12,965.09 is: 17,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.09 : 32,534.09 = 12,965.09 : x
  2. Step 2: Convert to fraction form
    23,576.09/32,534.09 = 12,965.09/x
  3. Step 3: Cross multiply
    23,576.09x = 32,534.09 × 12,965.09
  4. Step 4: Simplify right side
    23,576.09x = 421,807,274.66
  5. Step 5: Solve for x
    x = 421,807,274.66/23,576.09
  6. Step 6: Final answer
    x = 17,891.32

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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.