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Finding the Fourth Proportional to 19,733.49, 29,597.06 and 7,250.45

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Solution

The fourth proportional to 19,733.49, 29,597.06 and 7,250.45 is: 10,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.49 : 29,597.06 = 7,250.45 : x
  2. Step 2: Convert to fraction form
    19,733.49/29,597.06 = 7,250.45/x
  3. Step 3: Cross multiply
    19,733.49x = 29,597.06 × 7,250.45
  4. Step 4: Simplify right side
    19,733.49x = 214,591,873.82
  5. Step 5: Solve for x
    x = 214,591,873.82/19,733.49
  6. Step 6: Final answer
    x = 10,874.50

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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.