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Finding the Fourth Proportional to 19,674.66, 29,509.52 and 7,976.64

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Solution

The fourth proportional to 19,674.66, 29,509.52 and 7,976.64 is: 11,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.66 : 29,509.52 = 7,976.64 : x
  2. Step 2: Convert to fraction form
    19,674.66/29,509.52 = 7,976.64/x
  3. Step 3: Cross multiply
    19,674.66x = 29,509.52 × 7,976.64
  4. Step 4: Simplify right side
    19,674.66x = 235,386,817.61
  5. Step 5: Solve for x
    x = 235,386,817.61/19,674.66
  6. Step 6: Final answer
    x = 11,963.96

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Why These Related Problems?

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