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Finding the Fourth Proportional to 21,189.90, 31,746.09 and 9,924.56

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Solution

The fourth proportional to 21,189.90, 31,746.09 and 9,924.56 is: 14,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.90 : 31,746.09 = 9,924.56 : x
  2. Step 2: Convert to fraction form
    21,189.90/31,746.09 = 9,924.56/x
  3. Step 3: Cross multiply
    21,189.90x = 31,746.09 × 9,924.56
  4. Step 4: Simplify right side
    21,189.90x = 315,065,972.50
  5. Step 5: Solve for x
    x = 315,065,972.50/21,189.90
  6. Step 6: Final answer
    x = 14,868.68

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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.