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Finding the Fourth Proportional to 18,411.84, 27,624.48 and 11,492.16

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Solution

The fourth proportional to 18,411.84, 27,624.48 and 11,492.16 is: 17,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411.84 : 27,624.48 = 11,492.16 : x
  2. Step 2: Convert to fraction form
    18,411.84/27,624.48 = 11,492.16/x
  3. Step 3: Cross multiply
    18,411.84x = 27,624.48 × 11,492.16
  4. Step 4: Simplify right side
    18,411.84x = 317,464,944.08
  5. Step 5: Solve for x
    x = 317,464,944.08/18,411.84
  6. Step 6: Final answer
    x = 17,242.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.