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Finding the Fourth Proportional to 23,479.40, 32,401.68 and 12,869

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Solution

The fourth proportional to 23,479.40, 32,401.68 and 12,869 is: 17,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,479.40 : 32,401.68 = 12,869 : x
  2. Step 2: Convert to fraction form
    23,479.40/32,401.68 = 12,869/x
  3. Step 3: Cross multiply
    23,479.40x = 32,401.68 × 12,869
  4. Step 4: Simplify right side
    23,479.40x = 416,977,219.92
  5. Step 5: Solve for x
    x = 416,977,219.92/23,479.40
  6. Step 6: Final answer
    x = 17,759.28

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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.