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Finding the Fourth Proportional to 27,137.16, 40,708.17 and 9,607.14

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Solution

The fourth proportional to 27,137.16, 40,708.17 and 9,607.14 is: 14,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.16 : 40,708.17 = 9,607.14 : x
  2. Step 2: Convert to fraction form
    27,137.16/40,708.17 = 9,607.14/x
  3. Step 3: Cross multiply
    27,137.16x = 40,708.17 × 9,607.14
  4. Step 4: Simplify right side
    27,137.16x = 391,089,088.33
  5. Step 5: Solve for x
    x = 391,089,088.33/27,137.16
  6. Step 6: Final answer
    x = 14,411.57

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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.