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Finding the Fourth Proportional to 27,282.96, 40,932 and 11,484.18

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Solution

The fourth proportional to 27,282.96, 40,932 and 11,484.18 is: 17,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282.96 : 40,932 = 11,484.18 : x
  2. Step 2: Convert to fraction form
    27,282.96/40,932 = 11,484.18/x
  3. Step 3: Cross multiply
    27,282.96x = 40,932 × 11,484.18
  4. Step 4: Simplify right side
    27,282.96x = 470,070,455.76
  5. Step 5: Solve for x
    x = 470,070,455.76/27,282.96
  6. Step 6: Final answer
    x = 17,229.45

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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.