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Finding the Fourth Proportional to 18,024.68, 27,037.02 and 6,782.13

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Solution

The fourth proportional to 18,024.68, 27,037.02 and 6,782.13 is: 10,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.68 : 27,037.02 = 6,782.13 : x
  2. Step 2: Convert to fraction form
    18,024.68/27,037.02 = 6,782.13/x
  3. Step 3: Cross multiply
    18,024.68x = 27,037.02 × 6,782.13
  4. Step 4: Simplify right side
    18,024.68x = 183,368,552.66
  5. Step 5: Solve for x
    x = 183,368,552.66/18,024.68
  6. Step 6: Final answer
    x = 10,173.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.