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Finding the Fourth Proportional to 14,309.84, 21,464.76 and 6,527.36

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Solution

The fourth proportional to 14,309.84, 21,464.76 and 6,527.36 is: 9,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.84 : 21,464.76 = 6,527.36 : x
  2. Step 2: Convert to fraction form
    14,309.84/21,464.76 = 6,527.36/x
  3. Step 3: Cross multiply
    14,309.84x = 21,464.76 × 6,527.36
  4. Step 4: Simplify right side
    14,309.84x = 140,108,215.83
  5. Step 5: Solve for x
    x = 140,108,215.83/14,309.84
  6. Step 6: Final answer
    x = 9,791.04

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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.