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Finding the Fourth Proportional to 11,189.72, 16,851.19 and 9,746.30

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Solution

The fourth proportional to 11,189.72, 16,851.19 and 9,746.30 is: 14,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.72 : 16,851.19 = 9,746.30 : x
  2. Step 2: Convert to fraction form
    11,189.72/16,851.19 = 9,746.30/x
  3. Step 3: Cross multiply
    11,189.72x = 16,851.19 × 9,746.30
  4. Step 4: Simplify right side
    11,189.72x = 164,236,753.10
  5. Step 5: Solve for x
    x = 164,236,753.10/11,189.72
  6. Step 6: Final answer
    x = 14,677.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.