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Finding the Fourth Proportional to 18,565.80, 27,851.82 and 9,206.28

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Solution

The fourth proportional to 18,565.80, 27,851.82 and 9,206.28 is: 13,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.80 : 27,851.82 = 9,206.28 : x
  2. Step 2: Convert to fraction form
    18,565.80/27,851.82 = 9,206.28/x
  3. Step 3: Cross multiply
    18,565.80x = 27,851.82 × 9,206.28
  4. Step 4: Simplify right side
    18,565.80x = 256,411,653.43
  5. Step 5: Solve for x
    x = 256,411,653.43/18,565.80
  6. Step 6: Final answer
    x = 13,810.97

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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.