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Finding the Fourth Proportional to 18,764.68, 25,894.26 and 10,381

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Solution

The fourth proportional to 18,764.68, 25,894.26 and 10,381 is: 14,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764.68 : 25,894.26 = 10,381 : x
  2. Step 2: Convert to fraction form
    18,764.68/25,894.26 = 10,381/x
  3. Step 3: Cross multiply
    18,764.68x = 25,894.26 × 10,381
  4. Step 4: Simplify right side
    18,764.68x = 268,808,313.06
  5. Step 5: Solve for x
    x = 268,808,313.06/18,764.68
  6. Step 6: Final answer
    x = 14,325.23

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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.