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Finding the Fourth Proportional to 12,551.34, 18,814.76 and 5,975.76

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Solution

The fourth proportional to 12,551.34, 18,814.76 and 5,975.76 is: 8,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.34 : 18,814.76 = 5,975.76 : x
  2. Step 2: Convert to fraction form
    12,551.34/18,814.76 = 5,975.76/x
  3. Step 3: Cross multiply
    12,551.34x = 18,814.76 × 5,975.76
  4. Step 4: Simplify right side
    12,551.34x = 112,432,490.22
  5. Step 5: Solve for x
    x = 112,432,490.22/12,551.34
  6. Step 6: Final answer
    x = 8,957.81

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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.