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Finding the Fourth Proportional to 27,052.10, 40,578.15 and 8,584.10

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Solution

The fourth proportional to 27,052.10, 40,578.15 and 8,584.10 is: 12,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052.10 : 40,578.15 = 8,584.10 : x
  2. Step 2: Convert to fraction form
    27,052.10/40,578.15 = 8,584.10/x
  3. Step 3: Cross multiply
    27,052.10x = 40,578.15 × 8,584.10
  4. Step 4: Simplify right side
    27,052.10x = 348,326,897.42
  5. Step 5: Solve for x
    x = 348,326,897.42/27,052.10
  6. Step 6: Final answer
    x = 12,876.15

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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.