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Finding the Fourth Proportional to 26,597.75, 39,905.74 and 9,079.88

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Solution

The fourth proportional to 26,597.75, 39,905.74 and 9,079.88 is: 13,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597.75 : 39,905.74 = 9,079.88 : x
  2. Step 2: Convert to fraction form
    26,597.75/39,905.74 = 9,079.88/x
  3. Step 3: Cross multiply
    26,597.75x = 39,905.74 × 9,079.88
  4. Step 4: Simplify right side
    26,597.75x = 362,339,330.51
  5. Step 5: Solve for x
    x = 362,339,330.51/26,597.75
  6. Step 6: Final answer
    x = 13,622.93

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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.