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Finding the Fourth Proportional to 27,084.46, 37,376.64 and 15,148

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Solution

The fourth proportional to 27,084.46, 37,376.64 and 15,148 is: 20,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,084.46 : 37,376.64 = 15,148 : x
  2. Step 2: Convert to fraction form
    27,084.46/37,376.64 = 15,148/x
  3. Step 3: Cross multiply
    27,084.46x = 37,376.64 × 15,148
  4. Step 4: Simplify right side
    27,084.46x = 566,181,342.72
  5. Step 5: Solve for x
    x = 566,181,342.72/27,084.46
  6. Step 6: Final answer
    x = 20,904.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.