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Finding the Fourth Proportional to 14,441.67, 19,923.92 and 8,471.16

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Solution

The fourth proportional to 14,441.67, 19,923.92 and 8,471.16 is: 11,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.67 : 19,923.92 = 8,471.16 : x
  2. Step 2: Convert to fraction form
    14,441.67/19,923.92 = 8,471.16/x
  3. Step 3: Cross multiply
    14,441.67x = 19,923.92 × 8,471.16
  4. Step 4: Simplify right side
    14,441.67x = 168,778,671.79
  5. Step 5: Solve for x
    x = 168,778,671.79/14,441.67
  6. Step 6: Final answer
    x = 11,686.92

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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.