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Finding the Fourth Proportional to 18,482.42, 27,729.76 and 6,002.84

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Solution

The fourth proportional to 18,482.42, 27,729.76 and 6,002.84 is: 9,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,482.42 : 27,729.76 = 6,002.84 : x
  2. Step 2: Convert to fraction form
    18,482.42/27,729.76 = 6,002.84/x
  3. Step 3: Cross multiply
    18,482.42x = 27,729.76 × 6,002.84
  4. Step 4: Simplify right side
    18,482.42x = 166,457,312.52
  5. Step 5: Solve for x
    x = 166,457,312.52/18,482.42
  6. Step 6: Final answer
    x = 9,006.25

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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.