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Finding the Fourth Proportional to 14,152.41, 21,224.97 and 5,834.79

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Solution

The fourth proportional to 14,152.41, 21,224.97 and 5,834.79 is: 8,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.41 : 21,224.97 = 5,834.79 : x
  2. Step 2: Convert to fraction form
    14,152.41/21,224.97 = 5,834.79/x
  3. Step 3: Cross multiply
    14,152.41x = 21,224.97 × 5,834.79
  4. Step 4: Simplify right side
    14,152.41x = 123,843,242.71
  5. Step 5: Solve for x
    x = 123,843,242.71/14,152.41
  6. Step 6: Final answer
    x = 8,750.68

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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.