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Finding the Fourth Proportional to 27,153.82, 40,722.09 and 8,681.50

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Solution

The fourth proportional to 27,153.82, 40,722.09 and 8,681.50 is: 13,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,153.82 : 40,722.09 = 8,681.50 : x
  2. Step 2: Convert to fraction form
    27,153.82/40,722.09 = 8,681.50/x
  3. Step 3: Cross multiply
    27,153.82x = 40,722.09 × 8,681.50
  4. Step 4: Simplify right side
    27,153.82x = 353,528,824.34
  5. Step 5: Solve for x
    x = 353,528,824.34/27,153.82
  6. Step 6: Final answer
    x = 13,019.49

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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.