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Finding the Fourth Proportional to 12,234.70, 18,352.05 and 9,610.30

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Solution

The fourth proportional to 12,234.70, 18,352.05 and 9,610.30 is: 14,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.70 : 18,352.05 = 9,610.30 : x
  2. Step 2: Convert to fraction form
    12,234.70/18,352.05 = 9,610.30/x
  3. Step 3: Cross multiply
    12,234.70x = 18,352.05 × 9,610.30
  4. Step 4: Simplify right side
    12,234.70x = 176,368,706.12
  5. Step 5: Solve for x
    x = 176,368,706.12/12,234.70
  6. Step 6: Final answer
    x = 14,415.45

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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.