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Finding the Fourth Proportional to 26,599, 36,706.56 and 14,662.24

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Solution

The fourth proportional to 26,599, 36,706.56 and 14,662.24 is: 20,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,599 : 36,706.56 = 14,662.24 : x
  2. Step 2: Convert to fraction form
    26,599/36,706.56 = 14,662.24/x
  3. Step 3: Cross multiply
    26,599x = 36,706.56 × 14,662.24
  4. Step 4: Simplify right side
    26,599x = 538,200,392.29
  5. Step 5: Solve for x
    x = 538,200,392.29/26,599
  6. Step 6: Final answer
    x = 20,233.86

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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.