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Finding the Fourth Proportional to 11,205.40, 16,808.10 and 10,476.40

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Solution

The fourth proportional to 11,205.40, 16,808.10 and 10,476.40 is: 15,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.40 : 16,808.10 = 10,476.40 : x
  2. Step 2: Convert to fraction form
    11,205.40/16,808.10 = 10,476.40/x
  3. Step 3: Cross multiply
    11,205.40x = 16,808.10 × 10,476.40
  4. Step 4: Simplify right side
    11,205.40x = 176,088,378.84
  5. Step 5: Solve for x
    x = 176,088,378.84/11,205.40
  6. Step 6: Final answer
    x = 15,714.60

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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.