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Finding the Fourth Proportional to 14,048.12, 19,385.42 and 7,760

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Solution

The fourth proportional to 14,048.12, 19,385.42 and 7,760 is: 10,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.12 : 19,385.42 = 7,760 : x
  2. Step 2: Convert to fraction form
    14,048.12/19,385.42 = 7,760/x
  3. Step 3: Cross multiply
    14,048.12x = 19,385.42 × 7,760
  4. Step 4: Simplify right side
    14,048.12x = 150,430,859.20
  5. Step 5: Solve for x
    x = 150,430,859.20/14,048.12
  6. Step 6: Final answer
    x = 10,708.26

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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.