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Finding the Fourth Proportional to 11,071.80, 16,607.70 and 9,646.20

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Solution

The fourth proportional to 11,071.80, 16,607.70 and 9,646.20 is: 14,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.80 : 16,607.70 = 9,646.20 : x
  2. Step 2: Convert to fraction form
    11,071.80/16,607.70 = 9,646.20/x
  3. Step 3: Cross multiply
    11,071.80x = 16,607.70 × 9,646.20
  4. Step 4: Simplify right side
    11,071.80x = 160,201,195.74
  5. Step 5: Solve for x
    x = 160,201,195.74/11,071.80
  6. Step 6: Final answer
    x = 14,469.30

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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.