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Finding the Fourth Proportional to 12,271.68, 18,384.84 and 9,501.48

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Solution

The fourth proportional to 12,271.68, 18,384.84 and 9,501.48 is: 14,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.68 : 18,384.84 = 9,501.48 : x
  2. Step 2: Convert to fraction form
    12,271.68/18,384.84 = 9,501.48/x
  3. Step 3: Cross multiply
    12,271.68x = 18,384.84 × 9,501.48
  4. Step 4: Simplify right side
    12,271.68x = 174,683,189.56
  5. Step 5: Solve for x
    x = 174,683,189.56/12,271.68
  6. Step 6: Final answer
    x = 14,234.66

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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.