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Finding the Fourth Proportional to 23,013.80, 31,779.83 and 14,530.94

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Solution

The fourth proportional to 23,013.80, 31,779.83 and 14,530.94 is: 20,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.80 : 31,779.83 = 14,530.94 : x
  2. Step 2: Convert to fraction form
    23,013.80/31,779.83 = 14,530.94/x
  3. Step 3: Cross multiply
    23,013.80x = 31,779.83 × 14,530.94
  4. Step 4: Simplify right side
    23,013.80x = 461,790,680.37
  5. Step 5: Solve for x
    x = 461,790,680.37/23,013.80
  6. Step 6: Final answer
    x = 20,065.82

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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.