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Finding the Fourth Proportional to 27,350.56, 37,742.88 and 17,284.40

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Solution

The fourth proportional to 27,350.56, 37,742.88 and 17,284.40 is: 23,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350.56 : 37,742.88 = 17,284.40 : x
  2. Step 2: Convert to fraction form
    27,350.56/37,742.88 = 17,284.40/x
  3. Step 3: Cross multiply
    27,350.56x = 37,742.88 × 17,284.40
  4. Step 4: Simplify right side
    27,350.56x = 652,363,035.07
  5. Step 5: Solve for x
    x = 652,363,035.07/27,350.56
  6. Step 6: Final answer
    x = 23,851.91

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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.