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Finding the Fourth Proportional to 27,022.25, 40,539.29 and 8,303.63

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Solution

The fourth proportional to 27,022.25, 40,539.29 and 8,303.63 is: 12,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.25 : 40,539.29 = 8,303.63 : x
  2. Step 2: Convert to fraction form
    27,022.25/40,539.29 = 8,303.63/x
  3. Step 3: Cross multiply
    27,022.25x = 40,539.29 × 8,303.63
  4. Step 4: Simplify right side
    27,022.25x = 336,623,020.41
  5. Step 5: Solve for x
    x = 336,623,020.41/27,022.25
  6. Step 6: Final answer
    x = 12,457.25

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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.