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Finding the Fourth Proportional to 15,502.70, 23,228.45 and 13,198.70

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Solution

The fourth proportional to 15,502.70, 23,228.45 and 13,198.70 is: 19,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.70 : 23,228.45 = 13,198.70 : x
  2. Step 2: Convert to fraction form
    15,502.70/23,228.45 = 13,198.70/x
  3. Step 3: Cross multiply
    15,502.70x = 23,228.45 × 13,198.70
  4. Step 4: Simplify right side
    15,502.70x = 306,585,343.02
  5. Step 5: Solve for x
    x = 306,585,343.02/15,502.70
  6. Step 6: Final answer
    x = 19,776.25

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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.