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Finding the Fourth Proportional to 14,221.56, 19,621.76 and 9,185.98

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Solution

The fourth proportional to 14,221.56, 19,621.76 and 9,185.98 is: 12,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.56 : 19,621.76 = 9,185.98 : x
  2. Step 2: Convert to fraction form
    14,221.56/19,621.76 = 9,185.98/x
  3. Step 3: Cross multiply
    14,221.56x = 19,621.76 × 9,185.98
  4. Step 4: Simplify right side
    14,221.56x = 180,245,094.92
  5. Step 5: Solve for x
    x = 180,245,094.92/14,221.56
  6. Step 6: Final answer
    x = 12,674.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.