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Finding the Fourth Proportional to 18,389, 27,584.06 and 4,538

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Solution

The fourth proportional to 18,389, 27,584.06 and 4,538 is: 6,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,389 : 27,584.06 = 4,538 : x
  2. Step 2: Convert to fraction form
    18,389/27,584.06 = 4,538/x
  3. Step 3: Cross multiply
    18,389x = 27,584.06 × 4,538
  4. Step 4: Simplify right side
    18,389x = 125,176,464.28
  5. Step 5: Solve for x
    x = 125,176,464.28/18,389
  6. Step 6: Final answer
    x = 6,807.14

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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.