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Finding the Fourth Proportional to 19,064, 28,596.96 and 6,752.96

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Solution

The fourth proportional to 19,064, 28,596.96 and 6,752.96 is: 10,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064 : 28,596.96 = 6,752.96 : x
  2. Step 2: Convert to fraction form
    19,064/28,596.96 = 6,752.96/x
  3. Step 3: Cross multiply
    19,064x = 28,596.96 × 6,752.96
  4. Step 4: Simplify right side
    19,064x = 193,114,127.00
  5. Step 5: Solve for x
    x = 193,114,127.00/19,064
  6. Step 6: Final answer
    x = 10,129.78

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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.