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Finding the Fourth Proportional to 16,349.76, 22,574.24 and 12,768.75

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Solution

The fourth proportional to 16,349.76, 22,574.24 and 12,768.75 is: 17,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.76 : 22,574.24 = 12,768.75 : x
  2. Step 2: Convert to fraction form
    16,349.76/22,574.24 = 12,768.75/x
  3. Step 3: Cross multiply
    16,349.76x = 22,574.24 × 12,768.75
  4. Step 4: Simplify right side
    16,349.76x = 288,244,827
  5. Step 5: Solve for x
    x = 288,244,827/16,349.76
  6. Step 6: Final answer
    x = 17,629.91

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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.