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Finding the Fourth Proportional to 23,559.34, 32,512.49 and 12,949.24

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Solution

The fourth proportional to 23,559.34, 32,512.49 and 12,949.24 is: 17,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,559.34 : 32,512.49 = 12,949.24 : x
  2. Step 2: Convert to fraction form
    23,559.34/32,512.49 = 12,949.24/x
  3. Step 3: Cross multiply
    23,559.34x = 32,512.49 × 12,949.24
  4. Step 4: Simplify right side
    23,559.34x = 421,012,036.01
  5. Step 5: Solve for x
    x = 421,012,036.01/23,559.34
  6. Step 6: Final answer
    x = 17,870.28

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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.