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Finding the Fourth Proportional to 14,762.24, 20,371.87 and 8,047.88

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Solution

The fourth proportional to 14,762.24, 20,371.87 and 8,047.88 is: 11,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.24 : 20,371.87 = 8,047.88 : x
  2. Step 2: Convert to fraction form
    14,762.24/20,371.87 = 8,047.88/x
  3. Step 3: Cross multiply
    14,762.24x = 20,371.87 × 8,047.88
  4. Step 4: Simplify right side
    14,762.24x = 163,950,365.14
  5. Step 5: Solve for x
    x = 163,950,365.14/14,762.24
  6. Step 6: Final answer
    x = 11,106.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.