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Finding the Fourth Proportional to 27,820.17, 41,730.30 and 9,352.17

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Solution

The fourth proportional to 27,820.17, 41,730.30 and 9,352.17 is: 14,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.17 : 41,730.30 = 9,352.17 : x
  2. Step 2: Convert to fraction form
    27,820.17/41,730.30 = 9,352.17/x
  3. Step 3: Cross multiply
    27,820.17x = 41,730.30 × 9,352.17
  4. Step 4: Simplify right side
    27,820.17x = 390,268,859.75
  5. Step 5: Solve for x
    x = 390,268,859.75/27,820.17
  6. Step 6: Final answer
    x = 14,028.27

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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.