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Finding the Fourth Proportional to 17,288.48, 25,926.24 and 8,048

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Solution

The fourth proportional to 17,288.48, 25,926.24 and 8,048 is: 12,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.48 : 25,926.24 = 8,048 : x
  2. Step 2: Convert to fraction form
    17,288.48/25,926.24 = 8,048/x
  3. Step 3: Cross multiply
    17,288.48x = 25,926.24 × 8,048
  4. Step 4: Simplify right side
    17,288.48x = 208,654,379.52
  5. Step 5: Solve for x
    x = 208,654,379.52/17,288.48
  6. Step 6: Final answer
    x = 12,068.98

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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.