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Finding the Fourth Proportional to 23,021.88, 31,769.88 and 12,950.32

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Solution

The fourth proportional to 23,021.88, 31,769.88 and 12,950.32 is: 17,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.88 : 31,769.88 = 12,950.32 : x
  2. Step 2: Convert to fraction form
    23,021.88/31,769.88 = 12,950.32/x
  3. Step 3: Cross multiply
    23,021.88x = 31,769.88 × 12,950.32
  4. Step 4: Simplify right side
    23,021.88x = 411,429,888.76
  5. Step 5: Solve for x
    x = 411,429,888.76/23,021.88
  6. Step 6: Final answer
    x = 17,871.26

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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.