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Finding the Fourth Proportional to 23,021.72, 31,770.12 and 12,950.08

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Solution

The fourth proportional to 23,021.72, 31,770.12 and 12,950.08 is: 17,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.72 : 31,770.12 = 12,950.08 : x
  2. Step 2: Convert to fraction form
    23,021.72/31,770.12 = 12,950.08/x
  3. Step 3: Cross multiply
    23,021.72x = 31,770.12 × 12,950.08
  4. Step 4: Simplify right side
    23,021.72x = 411,425,564.75
  5. Step 5: Solve for x
    x = 411,425,564.75/23,021.72
  6. Step 6: Final answer
    x = 17,871.19

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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.