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Finding the Fourth Proportional to 23,814.70, 32,862.96 and 13,059.57

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Solution

The fourth proportional to 23,814.70, 32,862.96 and 13,059.57 is: 18,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.70 : 32,862.96 = 13,059.57 : x
  2. Step 2: Convert to fraction form
    23,814.70/32,862.96 = 13,059.57/x
  3. Step 3: Cross multiply
    23,814.70x = 32,862.96 × 13,059.57
  4. Step 4: Simplify right side
    23,814.70x = 429,176,126.53
  5. Step 5: Solve for x
    x = 429,176,126.53/23,814.70
  6. Step 6: Final answer
    x = 18,021.48

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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.