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Finding the Fourth Proportional to 13,830.24, 20,750.52 and 8,287.52

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Solution

The fourth proportional to 13,830.24, 20,750.52 and 8,287.52 is: 12,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.24 : 20,750.52 = 8,287.52 : x
  2. Step 2: Convert to fraction form
    13,830.24/20,750.52 = 8,287.52/x
  3. Step 3: Cross multiply
    13,830.24x = 20,750.52 × 8,287.52
  4. Step 4: Simplify right side
    13,830.24x = 171,970,349.51
  5. Step 5: Solve for x
    x = 171,970,349.51/13,830.24
  6. Step 6: Final answer
    x = 12,434.37

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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.