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Finding the Fourth Proportional to 11,017.98, 16,447.71 and 9,441

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Solution

The fourth proportional to 11,017.98, 16,447.71 and 9,441 is: 14,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.98 : 16,447.71 = 9,441 : x
  2. Step 2: Convert to fraction form
    11,017.98/16,447.71 = 9,441/x
  3. Step 3: Cross multiply
    11,017.98x = 16,447.71 × 9,441
  4. Step 4: Simplify right side
    11,017.98x = 155,282,830.11
  5. Step 5: Solve for x
    x = 155,282,830.11/11,017.98
  6. Step 6: Final answer
    x = 14,093.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.