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Finding the Fourth Proportional to 19,650.98, 29,483.76 and 15,962.24

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Solution

The fourth proportional to 19,650.98, 29,483.76 and 15,962.24 is: 23,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650.98 : 29,483.76 = 15,962.24 : x
  2. Step 2: Convert to fraction form
    19,650.98/29,483.76 = 15,962.24/x
  3. Step 3: Cross multiply
    19,650.98x = 29,483.76 × 15,962.24
  4. Step 4: Simplify right side
    19,650.98x = 470,626,853.22
  5. Step 5: Solve for x
    x = 470,626,853.22/19,650.98
  6. Step 6: Final answer
    x = 23,949.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.