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Finding the Fourth Proportional to 16,754, 23,119.74 and 10,043.34

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Solution

The fourth proportional to 16,754, 23,119.74 and 10,043.34 is: 13,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,754 : 23,119.74 = 10,043.34 : x
  2. Step 2: Convert to fraction form
    16,754/23,119.74 = 10,043.34/x
  3. Step 3: Cross multiply
    16,754x = 23,119.74 × 10,043.34
  4. Step 4: Simplify right side
    16,754x = 232,199,409.53
  5. Step 5: Solve for x
    x = 232,199,409.53/16,754
  6. Step 6: Final answer
    x = 13,859.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.