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Finding the Fourth Proportional to 23,205.39, 32,020.16 and 13,777.71

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Solution

The fourth proportional to 23,205.39, 32,020.16 and 13,777.71 is: 19,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.39 : 32,020.16 = 13,777.71 : x
  2. Step 2: Convert to fraction form
    23,205.39/32,020.16 = 13,777.71/x
  3. Step 3: Cross multiply
    23,205.39x = 32,020.16 × 13,777.71
  4. Step 4: Simplify right side
    23,205.39x = 441,164,409.75
  5. Step 5: Solve for x
    x = 441,164,409.75/23,205.39
  6. Step 6: Final answer
    x = 19,011.29

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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.