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Finding the Fourth Proportional to 14,142.79, 21,206.05 and 5,828.55

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Solution

The fourth proportional to 14,142.79, 21,206.05 and 5,828.55 is: 8,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.79 : 21,206.05 = 5,828.55 : x
  2. Step 2: Convert to fraction form
    14,142.79/21,206.05 = 5,828.55/x
  3. Step 3: Cross multiply
    14,142.79x = 21,206.05 × 5,828.55
  4. Step 4: Simplify right side
    14,142.79x = 123,600,522.73
  5. Step 5: Solve for x
    x = 123,600,522.73/14,142.79
  6. Step 6: Final answer
    x = 8,739.47

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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.