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Finding the Fourth Proportional to 12,466.81, 18,702.50 and 7,530.57

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Solution

The fourth proportional to 12,466.81, 18,702.50 and 7,530.57 is: 11,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.81 : 18,702.50 = 7,530.57 : x
  2. Step 2: Convert to fraction form
    12,466.81/18,702.50 = 7,530.57/x
  3. Step 3: Cross multiply
    12,466.81x = 18,702.50 × 7,530.57
  4. Step 4: Simplify right side
    12,466.81x = 140,840,447.77
  5. Step 5: Solve for x
    x = 140,840,447.77/12,466.81
  6. Step 6: Final answer
    x = 11,297.23

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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.