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Finding the Fourth Proportional to 27,037.82, 40,557 and 9,507.80

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Solution

The fourth proportional to 27,037.82, 40,557 and 9,507.80 is: 14,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.82 : 40,557 = 9,507.80 : x
  2. Step 2: Convert to fraction form
    27,037.82/40,557 = 9,507.80/x
  3. Step 3: Cross multiply
    27,037.82x = 40,557 × 9,507.80
  4. Step 4: Simplify right side
    27,037.82x = 385,607,844.60
  5. Step 5: Solve for x
    x = 385,607,844.60/27,037.82
  6. Step 6: Final answer
    x = 14,261.79

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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.