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Finding the Fourth Proportional to 13,454, 20,175.72 and 7,908.72

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Solution

The fourth proportional to 13,454, 20,175.72 and 7,908.72 is: 11,859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454 : 20,175.72 = 7,908.72 : x
  2. Step 2: Convert to fraction form
    13,454/20,175.72 = 7,908.72/x
  3. Step 3: Cross multiply
    13,454x = 20,175.72 × 7,908.72
  4. Step 4: Simplify right side
    13,454x = 159,564,120.28
  5. Step 5: Solve for x
    x = 159,564,120.28/13,454
  6. Step 6: Final answer
    x = 11,859.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.