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Finding the Fourth Proportional to 14,707.56, 22,048.94 and 6,381.31

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Solution

The fourth proportional to 14,707.56, 22,048.94 and 6,381.31 is: 9,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.56 : 22,048.94 = 6,381.31 : x
  2. Step 2: Convert to fraction form
    14,707.56/22,048.94 = 6,381.31/x
  3. Step 3: Cross multiply
    14,707.56x = 22,048.94 × 6,381.31
  4. Step 4: Simplify right side
    14,707.56x = 140,701,121.31
  5. Step 5: Solve for x
    x = 140,701,121.31/14,707.56
  6. Step 6: Final answer
    x = 9,566.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.