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Finding the Fourth Proportional to 23,974.60, 33,074.58 and 16,509.64

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Solution

The fourth proportional to 23,974.60, 33,074.58 and 16,509.64 is: 22,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974.60 : 33,074.58 = 16,509.64 : x
  2. Step 2: Convert to fraction form
    23,974.60/33,074.58 = 16,509.64/x
  3. Step 3: Cross multiply
    23,974.60x = 33,074.58 × 16,509.64
  4. Step 4: Simplify right side
    23,974.60x = 546,049,408.95
  5. Step 5: Solve for x
    x = 546,049,408.95/23,974.60
  6. Step 6: Final answer
    x = 22,776.16

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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.