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Finding the Fourth Proportional to 12,506.72, 18,761.64 and 4,192.72

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Solution

The fourth proportional to 12,506.72, 18,761.64 and 4,192.72 is: 6,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.72 : 18,761.64 = 4,192.72 : x
  2. Step 2: Convert to fraction form
    12,506.72/18,761.64 = 4,192.72/x
  3. Step 3: Cross multiply
    12,506.72x = 18,761.64 × 4,192.72
  4. Step 4: Simplify right side
    12,506.72x = 78,662,303.26
  5. Step 5: Solve for x
    x = 78,662,303.26/12,506.72
  6. Step 6: Final answer
    x = 6,289.60

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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.