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Finding the Fourth Proportional to 26,801.53, 40,204 and 9,030.74

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Solution

The fourth proportional to 26,801.53, 40,204 and 9,030.74 is: 13,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,801.53 : 40,204 = 9,030.74 : x
  2. Step 2: Convert to fraction form
    26,801.53/40,204 = 9,030.74/x
  3. Step 3: Cross multiply
    26,801.53x = 40,204 × 9,030.74
  4. Step 4: Simplify right side
    26,801.53x = 363,071,870.96
  5. Step 5: Solve for x
    x = 363,071,870.96/26,801.53
  6. Step 6: Final answer
    x = 13,546.68

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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.