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Finding the Fourth Proportional to 23,206.35, 32,024.80 and 12,595.98

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Solution

The fourth proportional to 23,206.35, 32,024.80 and 12,595.98 is: 17,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.35 : 32,024.80 = 12,595.98 : x
  2. Step 2: Convert to fraction form
    23,206.35/32,024.80 = 12,595.98/x
  3. Step 3: Cross multiply
    23,206.35x = 32,024.80 × 12,595.98
  4. Step 4: Simplify right side
    23,206.35x = 403,383,740.30
  5. Step 5: Solve for x
    x = 403,383,740.30/23,206.35
  6. Step 6: Final answer
    x = 17,382.47

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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.