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Finding the Fourth Proportional to 22,984.82, 31,722.25 and 12,914.04

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Solution

The fourth proportional to 22,984.82, 31,722.25 and 12,914.04 is: 17,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.82 : 31,722.25 = 12,914.04 : x
  2. Step 2: Convert to fraction form
    22,984.82/31,722.25 = 12,914.04/x
  3. Step 3: Cross multiply
    22,984.82x = 31,722.25 × 12,914.04
  4. Step 4: Simplify right side
    22,984.82x = 409,662,373.10
  5. Step 5: Solve for x
    x = 409,662,373.10/22,984.82
  6. Step 6: Final answer
    x = 17,823.17

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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.