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Finding the Fourth Proportional to 15,327.21, 22,897.64 and 9,735.78

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Solution

The fourth proportional to 15,327.21, 22,897.64 and 9,735.78 is: 14,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,327.21 : 22,897.64 = 9,735.78 : x
  2. Step 2: Convert to fraction form
    15,327.21/22,897.64 = 9,735.78/x
  3. Step 3: Cross multiply
    15,327.21x = 22,897.64 × 9,735.78
  4. Step 4: Simplify right side
    15,327.21x = 222,926,385.56
  5. Step 5: Solve for x
    x = 222,926,385.56/15,327.21
  6. Step 6: Final answer
    x = 14,544.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.