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Finding the Fourth Proportional to 16,970.68, 23,401.86 and 10,255

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Solution

The fourth proportional to 16,970.68, 23,401.86 and 10,255 is: 14,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.68 : 23,401.86 = 10,255 : x
  2. Step 2: Convert to fraction form
    16,970.68/23,401.86 = 10,255/x
  3. Step 3: Cross multiply
    16,970.68x = 23,401.86 × 10,255
  4. Step 4: Simplify right side
    16,970.68x = 239,986,074.30
  5. Step 5: Solve for x
    x = 239,986,074.30/16,970.68
  6. Step 6: Final answer
    x = 14,141.22

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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.