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Finding the Fourth Proportional to 18,029.64, 27,037.16 and 7,492.50

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Solution

The fourth proportional to 18,029.64, 27,037.16 and 7,492.50 is: 11,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029.64 : 27,037.16 = 7,492.50 : x
  2. Step 2: Convert to fraction form
    18,029.64/27,037.16 = 7,492.50/x
  3. Step 3: Cross multiply
    18,029.64x = 27,037.16 × 7,492.50
  4. Step 4: Simplify right side
    18,029.64x = 202,575,883.84
  5. Step 5: Solve for x
    x = 202,575,883.84/18,029.64
  6. Step 6: Final answer
    x = 11,235.71

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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.