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Finding the Fourth Proportional to 27,230.90, 40,848.66 and 7,509.46

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Solution

The fourth proportional to 27,230.90, 40,848.66 and 7,509.46 is: 11,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,230.90 : 40,848.66 = 7,509.46 : x
  2. Step 2: Convert to fraction form
    27,230.90/40,848.66 = 7,509.46/x
  3. Step 3: Cross multiply
    27,230.90x = 40,848.66 × 7,509.46
  4. Step 4: Simplify right side
    27,230.90x = 306,751,378.32
  5. Step 5: Solve for x
    x = 306,751,378.32/27,230.90
  6. Step 6: Final answer
    x = 11,264.83

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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.