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Finding the Fourth Proportional to 19,650, 29,488.08 and 9,262.56

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Solution

The fourth proportional to 19,650, 29,488.08 and 9,262.56 is: 13,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,650 : 29,488.08 = 9,262.56 : x
  2. Step 2: Convert to fraction form
    19,650/29,488.08 = 9,262.56/x
  3. Step 3: Cross multiply
    19,650x = 29,488.08 × 9,262.56
  4. Step 4: Simplify right side
    19,650x = 273,135,110.28
  5. Step 5: Solve for x
    x = 273,135,110.28/19,650
  6. Step 6: Final answer
    x = 13,900.01

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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.