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Finding the Fourth Proportional to 14,786.84, 20,409.18 and 10,073

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Solution

The fourth proportional to 14,786.84, 20,409.18 and 10,073 is: 13,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.84 : 20,409.18 = 10,073 : x
  2. Step 2: Convert to fraction form
    14,786.84/20,409.18 = 10,073/x
  3. Step 3: Cross multiply
    14,786.84x = 20,409.18 × 10,073
  4. Step 4: Simplify right side
    14,786.84x = 205,581,670.14
  5. Step 5: Solve for x
    x = 205,581,670.14/14,786.84
  6. Step 6: Final answer
    x = 13,903.02

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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.