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Finding the Fourth Proportional to 15,846.59, 23,758.09 and 9,605.06

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Solution

The fourth proportional to 15,846.59, 23,758.09 and 9,605.06 is: 14,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.59 : 23,758.09 = 9,605.06 : x
  2. Step 2: Convert to fraction form
    15,846.59/23,758.09 = 9,605.06/x
  3. Step 3: Cross multiply
    15,846.59x = 23,758.09 × 9,605.06
  4. Step 4: Simplify right side
    15,846.59x = 228,197,879.94
  5. Step 5: Solve for x
    x = 228,197,879.94/15,846.59
  6. Step 6: Final answer
    x = 14,400.44

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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.