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Finding the Fourth Proportional to 16,468.65, 24,702.98 and 7,713.36

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Solution

The fourth proportional to 16,468.65, 24,702.98 and 7,713.36 is: 11,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.65 : 24,702.98 = 7,713.36 : x
  2. Step 2: Convert to fraction form
    16,468.65/24,702.98 = 7,713.36/x
  3. Step 3: Cross multiply
    16,468.65x = 24,702.98 × 7,713.36
  4. Step 4: Simplify right side
    16,468.65x = 190,542,939.25
  5. Step 5: Solve for x
    x = 190,542,939.25/16,468.65
  6. Step 6: Final answer
    x = 11,570.04

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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.