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Finding the Fourth Proportional to 14,776.96, 20,399.74 and 11,412.22

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Solution

The fourth proportional to 14,776.96, 20,399.74 and 11,412.22 is: 15,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.96 : 20,399.74 = 11,412.22 : x
  2. Step 2: Convert to fraction form
    14,776.96/20,399.74 = 11,412.22/x
  3. Step 3: Cross multiply
    14,776.96x = 20,399.74 × 11,412.22
  4. Step 4: Simplify right side
    14,776.96x = 232,806,320.82
  5. Step 5: Solve for x
    x = 232,806,320.82/14,776.96
  6. Step 6: Final answer
    x = 15,754.68

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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.