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Finding the Fourth Proportional to 19,930.45, 29,897.85 and 7,456.45

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Solution

The fourth proportional to 19,930.45, 29,897.85 and 7,456.45 is: 11,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930.45 : 29,897.85 = 7,456.45 : x
  2. Step 2: Convert to fraction form
    19,930.45/29,897.85 = 7,456.45/x
  3. Step 3: Cross multiply
    19,930.45x = 29,897.85 × 7,456.45
  4. Step 4: Simplify right side
    19,930.45x = 222,931,823.63
  5. Step 5: Solve for x
    x = 222,931,823.63/19,930.45
  6. Step 6: Final answer
    x = 11,185.49

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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.