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Finding the Fourth Proportional to 12,521.50, 17,277.96 and 7,484.64

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Solution

The fourth proportional to 12,521.50, 17,277.96 and 7,484.64 is: 10,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,521.50 : 17,277.96 = 7,484.64 : x
  2. Step 2: Convert to fraction form
    12,521.50/17,277.96 = 7,484.64/x
  3. Step 3: Cross multiply
    12,521.50x = 17,277.96 × 7,484.64
  4. Step 4: Simplify right side
    12,521.50x = 129,319,310.53
  5. Step 5: Solve for x
    x = 129,319,310.53/12,521.50
  6. Step 6: Final answer
    x = 10,327.78

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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.