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Finding the Fourth Proportional to 23,920.81, 35,886.05 and 13,405.83

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Solution

The fourth proportional to 23,920.81, 35,886.05 and 13,405.83 is: 20,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,920.81 : 35,886.05 = 13,405.83 : x
  2. Step 2: Convert to fraction form
    23,920.81/35,886.05 = 13,405.83/x
  3. Step 3: Cross multiply
    23,920.81x = 35,886.05 × 13,405.83
  4. Step 4: Simplify right side
    23,920.81x = 481,082,285.67
  5. Step 5: Solve for x
    x = 481,082,285.67/23,920.81
  6. Step 6: Final answer
    x = 20,111.45

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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.