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Finding the Fourth Proportional to 23,205.98, 32,024.07 and 12,595.37

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Solution

The fourth proportional to 23,205.98, 32,024.07 and 12,595.37 is: 17,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.98 : 32,024.07 = 12,595.37 : x
  2. Step 2: Convert to fraction form
    23,205.98/32,024.07 = 12,595.37/x
  3. Step 3: Cross multiply
    23,205.98x = 32,024.07 × 12,595.37
  4. Step 4: Simplify right side
    23,205.98x = 403,355,010.56
  5. Step 5: Solve for x
    x = 403,355,010.56/23,205.98
  6. Step 6: Final answer
    x = 17,381.51

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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.