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Finding the Fourth Proportional to 16,969.68, 23,400.48 and 10,254

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Solution

The fourth proportional to 16,969.68, 23,400.48 and 10,254 is: 14,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.68 : 23,400.48 = 10,254 : x
  2. Step 2: Convert to fraction form
    16,969.68/23,400.48 = 10,254/x
  3. Step 3: Cross multiply
    16,969.68x = 23,400.48 × 10,254
  4. Step 4: Simplify right side
    16,969.68x = 239,948,521.92
  5. Step 5: Solve for x
    x = 239,948,521.92/16,969.68
  6. Step 6: Final answer
    x = 14,139.84

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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.