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Finding the Fourth Proportional to 11,187.72, 16,848.17 and 9,744.30

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Solution

The fourth proportional to 11,187.72, 16,848.17 and 9,744.30 is: 14,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.72 : 16,848.17 = 9,744.30 : x
  2. Step 2: Convert to fraction form
    11,187.72/16,848.17 = 9,744.30/x
  3. Step 3: Cross multiply
    11,187.72x = 16,848.17 × 9,744.30
  4. Step 4: Simplify right side
    11,187.72x = 164,173,622.93
  5. Step 5: Solve for x
    x = 164,173,622.93/11,187.72
  6. Step 6: Final answer
    x = 14,674.45

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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.