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Finding the Fourth Proportional to 14,080.31, 19,430.67 and 7,707.03

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Solution

The fourth proportional to 14,080.31, 19,430.67 and 7,707.03 is: 10,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.31 : 19,430.67 = 7,707.03 : x
  2. Step 2: Convert to fraction form
    14,080.31/19,430.67 = 7,707.03/x
  3. Step 3: Cross multiply
    14,080.31x = 19,430.67 × 7,707.03
  4. Step 4: Simplify right side
    14,080.31x = 149,752,756.61
  5. Step 5: Solve for x
    x = 149,752,756.61/14,080.31
  6. Step 6: Final answer
    x = 10,635.62

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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.