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Finding the Fourth Proportional to 27,057.36, 40,582.44 and 9,525

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Solution

The fourth proportional to 27,057.36, 40,582.44 and 9,525 is: 14,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.36 : 40,582.44 = 9,525 : x
  2. Step 2: Convert to fraction form
    27,057.36/40,582.44 = 9,525/x
  3. Step 3: Cross multiply
    27,057.36x = 40,582.44 × 9,525
  4. Step 4: Simplify right side
    27,057.36x = 386,547,741
  5. Step 5: Solve for x
    x = 386,547,741/27,057.36
  6. Step 6: Final answer
    x = 14,286.23

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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.