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Finding the Fourth Proportional to 13,780.62, 20,607.84 and 10,273.02

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Solution

The fourth proportional to 13,780.62, 20,607.84 and 10,273.02 is: 15,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.62 : 20,607.84 = 10,273.02 : x
  2. Step 2: Convert to fraction form
    13,780.62/20,607.84 = 10,273.02/x
  3. Step 3: Cross multiply
    13,780.62x = 20,607.84 × 10,273.02
  4. Step 4: Simplify right side
    13,780.62x = 211,704,752.48
  5. Step 5: Solve for x
    x = 211,704,752.48/13,780.62
  6. Step 6: Final answer
    x = 15,362.50

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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.