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Finding the Fourth Proportional to 11,205.70, 16,808.55 and 9,456.10

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Solution

The fourth proportional to 11,205.70, 16,808.55 and 9,456.10 is: 14,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.70 : 16,808.55 = 9,456.10 : x
  2. Step 2: Convert to fraction form
    11,205.70/16,808.55 = 9,456.10/x
  3. Step 3: Cross multiply
    11,205.70x = 16,808.55 × 9,456.10
  4. Step 4: Simplify right side
    11,205.70x = 158,943,329.66
  5. Step 5: Solve for x
    x = 158,943,329.66/11,205.70
  6. Step 6: Final answer
    x = 14,184.15

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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.