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Finding the Fourth Proportional to 23,585.98, 32,549.46 and 12,976.06

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Solution

The fourth proportional to 23,585.98, 32,549.46 and 12,976.06 is: 17,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.98 : 32,549.46 = 12,976.06 : x
  2. Step 2: Convert to fraction form
    23,585.98/32,549.46 = 12,976.06/x
  3. Step 3: Cross multiply
    23,585.98x = 32,549.46 × 12,976.06
  4. Step 4: Simplify right side
    23,585.98x = 422,363,745.93
  5. Step 5: Solve for x
    x = 422,363,745.93/23,585.98
  6. Step 6: Final answer
    x = 17,907.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.