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Finding the Fourth Proportional to 14,804.82, 20,430.32 and 8,090.46

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Solution

The fourth proportional to 14,804.82, 20,430.32 and 8,090.46 is: 11,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.82 : 20,430.32 = 8,090.46 : x
  2. Step 2: Convert to fraction form
    14,804.82/20,430.32 = 8,090.46/x
  3. Step 3: Cross multiply
    14,804.82x = 20,430.32 × 8,090.46
  4. Step 4: Simplify right side
    14,804.82x = 165,290,686.75
  5. Step 5: Solve for x
    x = 165,290,686.75/14,804.82
  6. Step 6: Final answer
    x = 11,164.65

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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.