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Finding the Fourth Proportional to 14,777.45, 20,400.42 and 11,412.71

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Solution

The fourth proportional to 14,777.45, 20,400.42 and 11,412.71 is: 15,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.45 : 20,400.42 = 11,412.71 : x
  2. Step 2: Convert to fraction form
    14,777.45/20,400.42 = 11,412.71/x
  3. Step 3: Cross multiply
    14,777.45x = 20,400.42 × 11,412.71
  4. Step 4: Simplify right side
    14,777.45x = 232,824,077.34
  5. Step 5: Solve for x
    x = 232,824,077.34/14,777.45
  6. Step 6: Final answer
    x = 15,755.36

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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.