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Finding the Fourth Proportional to 23,169.65, 31,974.08 and 12,559.32

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Solution

The fourth proportional to 23,169.65, 31,974.08 and 12,559.32 is: 17,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,169.65 : 31,974.08 = 12,559.32 : x
  2. Step 2: Convert to fraction form
    23,169.65/31,974.08 = 12,559.32/x
  3. Step 3: Cross multiply
    23,169.65x = 31,974.08 × 12,559.32
  4. Step 4: Simplify right side
    23,169.65x = 401,572,639.63
  5. Step 5: Solve for x
    x = 401,572,639.63/23,169.65
  6. Step 6: Final answer
    x = 17,331.84

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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.