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Finding the Fourth Proportional to 27,157.16, 40,741.18 and 9,388.46

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Solution

The fourth proportional to 27,157.16, 40,741.18 and 9,388.46 is: 14,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.16 : 40,741.18 = 9,388.46 : x
  2. Step 2: Convert to fraction form
    27,157.16/40,741.18 = 9,388.46/x
  3. Step 3: Cross multiply
    27,157.16x = 40,741.18 × 9,388.46
  4. Step 4: Simplify right side
    27,157.16x = 382,497,017.16
  5. Step 5: Solve for x
    x = 382,497,017.16/27,157.16
  6. Step 6: Final answer
    x = 14,084.57

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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.