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Finding the Fourth Proportional to 12,123.76, 18,168.54 and 9,647.56

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Solution

The fourth proportional to 12,123.76, 18,168.54 and 9,647.56 is: 14,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.76 : 18,168.54 = 9,647.56 : x
  2. Step 2: Convert to fraction form
    12,123.76/18,168.54 = 9,647.56/x
  3. Step 3: Cross multiply
    12,123.76x = 18,168.54 × 9,647.56
  4. Step 4: Simplify right side
    12,123.76x = 175,282,079.76
  5. Step 5: Solve for x
    x = 175,282,079.76/12,123.76
  6. Step 6: Final answer
    x = 14,457.73

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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.