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Finding the Fourth Proportional to 14,378.31, 19,842.06 and 8,090.67

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Solution

The fourth proportional to 14,378.31, 19,842.06 and 8,090.67 is: 11,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.31 : 19,842.06 = 8,090.67 : x
  2. Step 2: Convert to fraction form
    14,378.31/19,842.06 = 8,090.67/x
  3. Step 3: Cross multiply
    14,378.31x = 19,842.06 × 8,090.67
  4. Step 4: Simplify right side
    14,378.31x = 160,535,559.58
  5. Step 5: Solve for x
    x = 160,535,559.58/14,378.31
  6. Step 6: Final answer
    x = 11,165.12

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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.