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Finding the Fourth Proportional to 19,693.44, 29,546.10 and 7,041.54

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Solution

The fourth proportional to 19,693.44, 29,546.10 and 7,041.54 is: 10,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.44 : 29,546.10 = 7,041.54 : x
  2. Step 2: Convert to fraction form
    19,693.44/29,546.10 = 7,041.54/x
  3. Step 3: Cross multiply
    19,693.44x = 29,546.10 × 7,041.54
  4. Step 4: Simplify right side
    19,693.44x = 208,050,044.99
  5. Step 5: Solve for x
    x = 208,050,044.99/19,693.44
  6. Step 6: Final answer
    x = 10,564.43

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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.