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Finding the Fourth Proportional to 27,688.42, 41,532.72 and 7,962.40

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Solution

The fourth proportional to 27,688.42, 41,532.72 and 7,962.40 is: 11,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.42 : 41,532.72 = 7,962.40 : x
  2. Step 2: Convert to fraction form
    27,688.42/41,532.72 = 7,962.40/x
  3. Step 3: Cross multiply
    27,688.42x = 41,532.72 × 7,962.40
  4. Step 4: Simplify right side
    27,688.42x = 330,700,129.73
  5. Step 5: Solve for x
    x = 330,700,129.73/27,688.42
  6. Step 6: Final answer
    x = 11,943.63

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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.