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Finding the Fourth Proportional to 11,827.49, 16,328.25 and 9,269.98

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Solution

The fourth proportional to 11,827.49, 16,328.25 and 9,269.98 is: 12,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.49 : 16,328.25 = 9,269.98 : x
  2. Step 2: Convert to fraction form
    11,827.49/16,328.25 = 9,269.98/x
  3. Step 3: Cross multiply
    11,827.49x = 16,328.25 × 9,269.98
  4. Step 4: Simplify right side
    11,827.49x = 151,362,510.11
  5. Step 5: Solve for x
    x = 151,362,510.11/11,827.49
  6. Step 6: Final answer
    x = 12,797.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.