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Finding the Fourth Proportional to 13,471.41, 18,590.50 and 7,502.72

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Solution

The fourth proportional to 13,471.41, 18,590.50 and 7,502.72 is: 10,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.41 : 18,590.50 = 7,502.72 : x
  2. Step 2: Convert to fraction form
    13,471.41/18,590.50 = 7,502.72/x
  3. Step 3: Cross multiply
    13,471.41x = 18,590.50 × 7,502.72
  4. Step 4: Simplify right side
    13,471.41x = 139,479,278.65
  5. Step 5: Solve for x
    x = 139,479,278.65/13,471.41
  6. Step 6: Final answer
    x = 10,353.73

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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.