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Finding the Fourth Proportional to 27,100.94, 40,641.30 and 9,326.63

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Solution

The fourth proportional to 27,100.94, 40,641.30 and 9,326.63 is: 13,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.94 : 40,641.30 = 9,326.63 : x
  2. Step 2: Convert to fraction form
    27,100.94/40,641.30 = 9,326.63/x
  3. Step 3: Cross multiply
    27,100.94x = 40,641.30 × 9,326.63
  4. Step 4: Simplify right side
    27,100.94x = 379,046,240.81
  5. Step 5: Solve for x
    x = 379,046,240.81/27,100.94
  6. Step 6: Final answer
    x = 13,986.46

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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.