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Finding the Fourth Proportional to 27,051.84, 40,576.38 and 9,521.80

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Solution

The fourth proportional to 27,051.84, 40,576.38 and 9,521.80 is: 14,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051.84 : 40,576.38 = 9,521.80 : x
  2. Step 2: Convert to fraction form
    27,051.84/40,576.38 = 9,521.80/x
  3. Step 3: Cross multiply
    27,051.84x = 40,576.38 × 9,521.80
  4. Step 4: Simplify right side
    27,051.84x = 386,360,175.08
  5. Step 5: Solve for x
    x = 386,360,175.08/27,051.84
  6. Step 6: Final answer
    x = 14,282.21

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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.