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Finding the Fourth Proportional to 18,223.84, 27,330.90 and 7,833.16

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Solution

The fourth proportional to 18,223.84, 27,330.90 and 7,833.16 is: 11,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.84 : 27,330.90 = 7,833.16 : x
  2. Step 2: Convert to fraction form
    18,223.84/27,330.90 = 7,833.16/x
  3. Step 3: Cross multiply
    18,223.84x = 27,330.90 × 7,833.16
  4. Step 4: Simplify right side
    18,223.84x = 214,087,312.64
  5. Step 5: Solve for x
    x = 214,087,312.64/18,223.84
  6. Step 6: Final answer
    x = 11,747.65

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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.