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Finding the Fourth Proportional to 16,437.24, 24,654.60 and 6,048

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Solution

The fourth proportional to 16,437.24, 24,654.60 and 6,048 is: 9,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437.24 : 24,654.60 = 6,048 : x
  2. Step 2: Convert to fraction form
    16,437.24/24,654.60 = 6,048/x
  3. Step 3: Cross multiply
    16,437.24x = 24,654.60 × 6,048
  4. Step 4: Simplify right side
    16,437.24x = 149,111,020.80
  5. Step 5: Solve for x
    x = 149,111,020.80/16,437.24
  6. Step 6: Final answer
    x = 9,071.54

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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.