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Finding the Fourth Proportional to 14,791.32, 20,412.51 and 8,077.46

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Solution

The fourth proportional to 14,791.32, 20,412.51 and 8,077.46 is: 11,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.32 : 20,412.51 = 8,077.46 : x
  2. Step 2: Convert to fraction form
    14,791.32/20,412.51 = 8,077.46/x
  3. Step 3: Cross multiply
    14,791.32x = 20,412.51 × 8,077.46
  4. Step 4: Simplify right side
    14,791.32x = 164,881,233.02
  5. Step 5: Solve for x
    x = 164,881,233.02/14,791.32
  6. Step 6: Final answer
    x = 11,147.16

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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.