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Finding the Fourth Proportional to 23,876.28, 32,950.26 and 13,266

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Solution

The fourth proportional to 23,876.28, 32,950.26 and 13,266 is: 18,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.28 : 32,950.26 = 13,266 : x
  2. Step 2: Convert to fraction form
    23,876.28/32,950.26 = 13,266/x
  3. Step 3: Cross multiply
    23,876.28x = 32,950.26 × 13,266
  4. Step 4: Simplify right side
    23,876.28x = 437,118,149.16
  5. Step 5: Solve for x
    x = 437,118,149.16/23,876.28
  6. Step 6: Final answer
    x = 18,307.63

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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.