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Finding the Fourth Proportional to 27,070.84, 40,608.60 and 9,540.82

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Solution

The fourth proportional to 27,070.84, 40,608.60 and 9,540.82 is: 14,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,070.84 : 40,608.60 = 9,540.82 : x
  2. Step 2: Convert to fraction form
    27,070.84/40,608.60 = 9,540.82/x
  3. Step 3: Cross multiply
    27,070.84x = 40,608.60 × 9,540.82
  4. Step 4: Simplify right side
    27,070.84x = 387,439,343.05
  5. Step 5: Solve for x
    x = 387,439,343.05/27,070.84
  6. Step 6: Final answer
    x = 14,312.05

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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.