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Finding the Fourth Proportional to 15,916.26, 23,835.50 and 13,738.98

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Solution

The fourth proportional to 15,916.26, 23,835.50 and 13,738.98 is: 20,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.26 : 23,835.50 = 13,738.98 : x
  2. Step 2: Convert to fraction form
    15,916.26/23,835.50 = 13,738.98/x
  3. Step 3: Cross multiply
    15,916.26x = 23,835.50 × 13,738.98
  4. Step 4: Simplify right side
    15,916.26x = 327,475,457.79
  5. Step 5: Solve for x
    x = 327,475,457.79/15,916.26
  6. Step 6: Final answer
    x = 20,574.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.