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Finding the Fourth Proportional to 11,300.95, 16,939.11 and 9,652.50

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Solution

The fourth proportional to 11,300.95, 16,939.11 and 9,652.50 is: 14,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.95 : 16,939.11 = 9,652.50 : x
  2. Step 2: Convert to fraction form
    11,300.95/16,939.11 = 9,652.50/x
  3. Step 3: Cross multiply
    11,300.95x = 16,939.11 × 9,652.50
  4. Step 4: Simplify right side
    11,300.95x = 163,504,674.58
  5. Step 5: Solve for x
    x = 163,504,674.58/11,300.95
  6. Step 6: Final answer
    x = 14,468.22

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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.