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Finding the Fourth Proportional to 19,644.50, 29,478.58 and 7,165.61

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Solution

The fourth proportional to 19,644.50, 29,478.58 and 7,165.61 is: 10,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.50 : 29,478.58 = 7,165.61 : x
  2. Step 2: Convert to fraction form
    19,644.50/29,478.58 = 7,165.61/x
  3. Step 3: Cross multiply
    19,644.50x = 29,478.58 × 7,165.61
  4. Step 4: Simplify right side
    19,644.50x = 211,232,113.65
  5. Step 5: Solve for x
    x = 211,232,113.65/19,644.50
  6. Step 6: Final answer
    x = 10,752.74

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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.