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Finding the Fourth Proportional to 15,823.10, 21,834.41 and 8,749.37

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Solution

The fourth proportional to 15,823.10, 21,834.41 and 8,749.37 is: 12,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.10 : 21,834.41 = 8,749.37 : x
  2. Step 2: Convert to fraction form
    15,823.10/21,834.41 = 8,749.37/x
  3. Step 3: Cross multiply
    15,823.10x = 21,834.41 × 8,749.37
  4. Step 4: Simplify right side
    15,823.10x = 191,037,178.90
  5. Step 5: Solve for x
    x = 191,037,178.90/15,823.10
  6. Step 6: Final answer
    x = 12,073.31

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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.