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Finding the Fourth Proportional to 14,580.84, 21,874.14 and 5,346.92

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Solution

The fourth proportional to 14,580.84, 21,874.14 and 5,346.92 is: 8,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.84 : 21,874.14 = 5,346.92 : x
  2. Step 2: Convert to fraction form
    14,580.84/21,874.14 = 5,346.92/x
  3. Step 3: Cross multiply
    14,580.84x = 21,874.14 × 5,346.92
  4. Step 4: Simplify right side
    14,580.84x = 116,959,276.65
  5. Step 5: Solve for x
    x = 116,959,276.65/14,580.84
  6. Step 6: Final answer
    x = 8,021.44

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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.