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Finding the Fourth Proportional to 24,458.25, 36,686.10 and 6,928.14

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Solution

The fourth proportional to 24,458.25, 36,686.10 and 6,928.14 is: 10,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.25 : 36,686.10 = 6,928.14 : x
  2. Step 2: Convert to fraction form
    24,458.25/36,686.10 = 6,928.14/x
  3. Step 3: Cross multiply
    24,458.25x = 36,686.10 × 6,928.14
  4. Step 4: Simplify right side
    24,458.25x = 254,166,436.85
  5. Step 5: Solve for x
    x = 254,166,436.85/24,458.25
  6. Step 6: Final answer
    x = 10,391.85

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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.