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Finding the Fourth Proportional to 26,442.80, 39,653.90 and 13,286

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Solution

The fourth proportional to 26,442.80, 39,653.90 and 13,286 is: 19,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442.80 : 39,653.90 = 13,286 : x
  2. Step 2: Convert to fraction form
    26,442.80/39,653.90 = 13,286/x
  3. Step 3: Cross multiply
    26,442.80x = 39,653.90 × 13,286
  4. Step 4: Simplify right side
    26,442.80x = 526,841,715.40
  5. Step 5: Solve for x
    x = 526,841,715.40/26,442.80
  6. Step 6: Final answer
    x = 19,923.82

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