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Finding the Fourth Proportional to 11,957.69, 16,502.15 and 9,964.91

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Solution

The fourth proportional to 11,957.69, 16,502.15 and 9,964.91 is: 13,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.69 : 16,502.15 = 9,964.91 : x
  2. Step 2: Convert to fraction form
    11,957.69/16,502.15 = 9,964.91/x
  3. Step 3: Cross multiply
    11,957.69x = 16,502.15 × 9,964.91
  4. Step 4: Simplify right side
    11,957.69x = 164,442,439.56
  5. Step 5: Solve for x
    x = 164,442,439.56/11,957.69
  6. Step 6: Final answer
    x = 13,752.02

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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.