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Finding the Fourth Proportional to 11,132.84, 16,710.51 and 9,874.64

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Solution

The fourth proportional to 11,132.84, 16,710.51 and 9,874.64 is: 14,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.84 : 16,710.51 = 9,874.64 : x
  2. Step 2: Convert to fraction form
    11,132.84/16,710.51 = 9,874.64/x
  3. Step 3: Cross multiply
    11,132.84x = 16,710.51 × 9,874.64
  4. Step 4: Simplify right side
    11,132.84x = 165,010,218.11
  5. Step 5: Solve for x
    x = 165,010,218.11/11,132.84
  6. Step 6: Final answer
    x = 14,821.94

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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.