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Finding the Fourth Proportional to 27,790.32, 41,689.80 and 9,318

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Solution

The fourth proportional to 27,790.32, 41,689.80 and 9,318 is: 13,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.32 : 41,689.80 = 9,318 : x
  2. Step 2: Convert to fraction form
    27,790.32/41,689.80 = 9,318/x
  3. Step 3: Cross multiply
    27,790.32x = 41,689.80 × 9,318
  4. Step 4: Simplify right side
    27,790.32x = 388,465,556.40
  5. Step 5: Solve for x
    x = 388,465,556.40/27,790.32
  6. Step 6: Final answer
    x = 13,978.45

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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.