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Finding the Fourth Proportional to 26,066.64, 39,096 and 8,536.08

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Solution

The fourth proportional to 26,066.64, 39,096 and 8,536.08 is: 12,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,066.64 : 39,096 = 8,536.08 : x
  2. Step 2: Convert to fraction form
    26,066.64/39,096 = 8,536.08/x
  3. Step 3: Cross multiply
    26,066.64x = 39,096 × 8,536.08
  4. Step 4: Simplify right side
    26,066.64x = 333,726,583.68
  5. Step 5: Solve for x
    x = 333,726,583.68/26,066.64
  6. Step 6: Final answer
    x = 12,802.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.