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Finding the Fourth Proportional to 12,733, 19,073.52 and 7,798.48

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Solution

The fourth proportional to 12,733, 19,073.52 and 7,798.48 is: 11,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733 : 19,073.52 = 7,798.48 : x
  2. Step 2: Convert to fraction form
    12,733/19,073.52 = 7,798.48/x
  3. Step 3: Cross multiply
    12,733x = 19,073.52 × 7,798.48
  4. Step 4: Simplify right side
    12,733x = 148,744,464.25
  5. Step 5: Solve for x
    x = 148,744,464.25/12,733
  6. Step 6: Final answer
    x = 11,681.81

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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.